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Probing Adsorption of Divalent Cations on Kaolinite Clay Surfaces by Atomic Force Microscopy by Jing Chang A thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Chemical Engineering Department of Chemical and Materials Engineering University of Alberta © Jing Chang, 2019

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Page 1: Probing Adsorption of Divalent Cations on Kaolinite …...Probing Adsorption of Divalent Cations on Kaolinite Clay Surfaces by Atomic Force Microscopy by Jing Chang A thesis submitted

Probing Adsorption of Divalent Cations on Kaolinite Clay Surfaces by Atomic Force

Microscopy

by

Jing Chang

A thesis submitted in partial fulfillment of the requirements for the degree of

Doctor of Philosophy

in

Chemical Engineering

Department of Chemical and Materials Engineering

University of Alberta

© Jing Chang, 2019

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Abstract

Kaolinite is one of the most commonly-used clay minerals in the production of paper,

plastics, and ceramics, etc. However, kaolinite is also a hard-to-remove mineral in the

processing of valuable minerals or energy resources, such as bauxite, metal sulphide ores,

and oil sands. The main problem stems from the stability of the micron-to-nanosized

kaolinite particle suspension, which is dominated by the colloidal interactions between the

charged kaolinite particles. To provide clear insights into the colloidal behaviour of

kaolinite that governs its vast applications in lab research and industry, the surface

charging properties of kaolinite particles and interactions of kaolinite with divalent cations

were studied using atomic force microscope (AFM).

The two-layer kaolinite (Al2[Si2O5](OH)4) has three kinds of external surfaces: a siloxane

(SiOSi) basal plane, an aluminium oxy-hydroxyl basal plane, and edge surfaces. To obtain

different kaolinite basal planes, kaolinite suspensions with particle sizes of 1 ~ 2 μm were

prepared and deposited on clean glass and sapphire substrates using a fast heating process.

To expose the edge surfaces of kaolinite particles, ultramicrotome cutting technique was

applied to cut a resin block with kaolinite particles sandwiched in the middle.

The interaction forces between AFM tips and different kaolinite surfaces were measured

in 10 mM KCl solutions with varying concentrations of Ca2+ and Mg2+ at different pHs.

The measured interaction forces were fitted with the classical DLVO theory to derive the

Stern potentials of various types of kaolinite surfaces. Distinct responses in the measured

Stern potentials of the two basal planes to divalent cations at pH 8 and 11 implied different

binding mechanisms of the studied divalent cations at clay-solution interfaces, which were

further explored by atomic resolution imaging. The change of the surface patterns of

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kaolinite basal planes was observed due to the specific adsorption of divalent cations at

high pH.

The three different surfaces of kaolinite were shown to form six possible inter-particle

associations in a kaolinite suspension. The interaction energies for these six kinds of

associations were calculated using the Stern potentials determined from the AFM force

measurements. Based on the calculation, the rheological behaviour and the settling test

results of kaolinite suspension were scientifically interpreted.

The findings in this dissertation provide fundamental understanding on the adsorption of

divalent cations at the clay-solution interfaces. The techniques used in this study might

open opportunities for more extensive explorations of features on material surfaces at

atomic level.

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Preface

The contents in this thesis include drafts for three manuscript that have been written and

are under proofreading by co-authors. Here, we introduce the tittles and authors of the three

papers, and their contributions.

1. Jing Chang, Bo Liu, Huaizhi Shao, Rogerio Manica, Qingxia Liu, Zhenghe Xu. Imaging

ionic distribution at kaolinite-electrolyte interface: direct evidence of specific adsorption.

Jing Chang wrote this paper, performed all the experiments and all the data analysis. Bo

Liu provided the idea of using atomic resolution imaging to probe ion adsorption. Huaizhi

Shao helped with preparing the samples. Rogerio Manica did the proofreading. Qingxia

Liu provided valuable suggestions and revised the manuscript. Zhenghe Xu supervised this

work. All the authors contributed to the discussion and commented on the manuscript.

2. Jing Chang, Huaizhi Shao, Bo Liu, Rogerio Manica, Qingxia Liu, Zhenghe Xu.

Interactions between Divalent Cations and Kaolinite Basal Planes Probed by AFM Force

Measurements. Jing Chang wrote this paper, performed all the experiments and all the data

analysis. Huaizhi Shao helped with preparing samples and background electrolytes. Bo Liu

and Rogerio Manica wrote the Matlab codes. Rogerio Manica also helped with the

proofreading. Qingxia Liu provided valuable suggestions to the manuscript. Zhenghe Xu

supervised this work. All the authors contributed to the discussion and commented on the

manuscript.

3. Jing Chang, Huaizhi Shao, Bo Liu, Rogerio Manica, Qingxia Liu, Zhenghe Xu.

Understanding Rheology and Settling Behaviors of Kaolinite Suspension through Direct

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Interaction Force Measurement Using AFM. Jing Chang wrote this paper, performed all

the experiments and all the data analysis. Huaizhi Shao helped with preparing samples and

background electrolytes. Bo Liu and Rogerio Manica wrote the Matlab codes. Qingxia Liu

provided valuable suggestions to the manuscript. Zhenghe Xu supervised this work. All

the authors contributed to the discussion and commented on the manuscript.

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With great power comes great

responsibility.

-- “Spider-Man”, by Stan Lee

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Acknowledgments

First and foremost, I wish to give my utmost gratitude to my supervisor, Professor Zhenghe

Xu for giving me this valuable opportunity to fulfill my Ph.D study at the University of

Alberta. I would like to express my heartful appreciation to Professor Qingxia Liu for being

my co-supervisor. The intelligent guidance and continuous support from Professor

Zhenghe Xu and Professor Qingxia Liu enabled me to gain research skills, develop critical

thinking, maintain proper attitude and finally achieve my academic goal.

Special appreciation to my colleague, Bo Liu, for his friendship and giving me priceless

idea on my research project.

I thank Dr. Rogerio Manica, for his help on the Matlab programming and all his

encouragement.

Many thanks to Huaizhi Shao, my colleague, who helped me a lot on hours and hours of

experiments with his patience.

I devoted my sincere gratitude to Ms. Jie Ru and Mr. James Skwarok, our technologists,

and Dr. Chen Wang, for their training on grasping essential skills and offering me their

valuable experience. I would also like to thank Ms. Lisa Carreiro for her assistance in

managing my study here.

I thank all my colleagues from the research groups of Professor Zhenghe Xu and Professor

Qingxia Liu, for their help on providing technical support, sharing knowledge and

discussing my project.

The financial support from China Scholarship Council is acknowledged.

My accomplishment and achievements are owed to all my friends, for their company,

support and understanding. My profound thanks to my parents, Huiping Zhang and Yinkui

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Chang, for their unconditional love and their absolute faith in me even during the hardest

time.

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Table of Contents

Chapter 1 Introduction..................................................................................................... 1

1.1 Background and motivations ................................................................................... 1

1.2 Objectives and scope of the thesis........................................................................... 2

1.3 Organization of the dissertation .............................................................................. 3

Chapter 2 Literature Review ........................................................................................... 5

2.1 An overview of bitumen extraction ......................................................................... 5

2.1.1 Fundamentals of water-based bitumen extraction process ............................. 5

2.1.2 Bitumen extraction process influence factors ................................................. 6

2.1.3 Oil sands tailings .......................................................................................... 10

2.1.4 Tailings management methods ..................................................................... 11

2.2 An introduction to clay minerals ........................................................................... 13

2.2.1 Definition of clay and clay minerals ............................................................. 13

2.2.2 Applications of clay minerals ....................................................................... 15

2.2.3 The anisotropic surface property of clay minerals ....................................... 16

2.2.4 Investigation techniques for surface property of clay minerals .................... 20

2.2.5 Probing anisotropic surface property of clay minerals using AFM .............. 22

2.2.6 Influence of anisotropic surface property ..................................................... 25

2.3 Kaolinite ................................................................................................................ 27

2.3.1 Background information for kaolinite .......................................................... 27

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2.3.2 Structure of kaolinite .................................................................................... 28

2.3.3 Particle aggregation ...................................................................................... 30

2.4 Ion distribution at a solid-liquid interface ............................................................. 31

2.4.1 Electric double layer theory .......................................................................... 32

2.4.2 Debate on ion adsorption mechanisms ......................................................... 32

2.4.3 Atomic resolution imaging ........................................................................... 33

Chapter 3 Materials and Methods................................................................................. 35

3.1 Materials ................................................................................................................ 35

3.2 Sample preparation ................................................................................................ 36

3.2.1 Kaolinite basal planes ................................................................................... 37

3.2.2 Kaolinite edge surfaces ................................................................................. 38

3.3 Atomic force microscopy ...................................................................................... 38

3.3.1 AFM force measurement .............................................................................. 38

3.3.2 AFM tip evaluation ....................................................................................... 40

3.3.3 Atomic resolution imaging by AFM ............................................................ 41

3.4 Theoretical model .................................................................................................. 42

Chapter 4 Determination of Stern Potentials of Kaolinite Surfaces: Effect of Divalent

Cations and Solution pH ................................................................................................ 48

4.1 Introduction ........................................................................................................... 48

4.2 Results and discussion ........................................................................................... 49

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4.2.1 AFM tip calibration ...................................................................................... 49

4.2.2 Characterization of kaolinite samples ........................................................... 59

4.2.3 Effect of divalent cations on Stern potential of kaolinite Si-basal planes .... 63

4.2.4 Effect of divalent cations on Stern potential of kaolinite Al-basal planes ... 68

4.2.5 Effect of divalent cations on Stern potential of kaolinite edge surfaces ...... 72

4.3 Summary ............................................................................................................... 74

Chapter 5 Imaging of Ion Adsorptions on Kaolinite Basal Planes ............................. 79

5.1 Introduction ........................................................................................................... 79

5.2 Results and discussion ........................................................................................... 79

5.2.1 Ion adsorption of monovalent ions ............................................................... 80

5.2.2 Ion adsorption of divalent ions ..................................................................... 82

5.3 Summary ............................................................................................................... 85

Chapter 6 Understanding Rheology and Settling Behaviors of Kaolinite Suspension

........................................................................................................................................... 86

6.1 Understanding the rheology behavior of kaolinite suspension ............................. 86

6.1.1 Calculation of interaction energy ................................................................. 86

6.1.2 Shear yield stress measurement .................................................................... 87

6.1.3 Understanding kaolinite suspension rheology behavior through interaction

energy calculation .................................................................................................. 88

6.2 Understanding the settling behavior of kaolinite suspension ................................ 92

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6.2.1 Settling test ................................................................................................... 92

6.2.2 Understanding kaolinite suspension settling behavior through interaction

energy calculation .................................................................................................. 93

Chapter 7 Conclusions and Future Work .................................................................... 98

7.1 Conclusions ........................................................................................................... 98

7.2 Recommendations for future work ........................................................................ 99

Bibliography .................................................................................................................. 101

Appendices ..................................................................................................................... 109

Appendix A Atomic resolution image processing .................................................... 109

Appendix B Error analysis of force fitting ................................................................ 111

Appendix C Speciation diagram ............................................................................... 113

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List of Tables

Table 2.1 Tailings management methods status ............................................................... 13

Table 2.2 Distinction between clay and clay minerals24 ................................................... 14

Table 2.3 Common uses of clay minerals ......................................................................... 15

Table 2.4 Anisotropic surface properties of clay minerals studied by AFM .................... 25

Table 2.5 Summary of reported PZC and IEP for kaolinite. ............................................ 30

Table 3.1 Values used to calculate the Hamaker constants. ............................................. 44

Table 5.1 Comparison of the unit cell spacing of kaolinite basal planes .......................... 81

Table 6.1 Prediction of the pH of the maximum shear yield stress for different pairs of

surfaces from the calculated interaction energy profiles. ................................................. 91

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List of Figures

Figure 2.1 Program diagram of bitumen production from oil sands by open-pit mining

technology1. ........................................................................................................................ 5

Figure 2.2 Formation of water layers in a tailings pond. .................................................. 11

Figure 2.3 Schematics of phyllosilicates with anisotropic surfaces. ................................ 17

Figure 2.4 Structure of the tetrahedral sheet27. (a) tetrahedral arrangement of Si and O, (b)

projection of tetrahedron on plane of sheet, (b) top view of tetrahedral sheet (dotted red

line: unit cell area). Large grey circles represent oxygen; small red circles, silicon. ....... 17

Figure 2.5 Structure of the octahedral sheet27. (a) octahedral arrangement of Al or Mg with

O or OH, (b) projection of octahedron in two dimensions, and (c) top view of octahedral

sheet (dotted red line: unit cell area). Large white circles represent oxygen atoms; large

grey circles represent hydroxyl groups; small blue circles, aluminum atoms. ................. 18

Figure 2.6 Relative amounts of clay minerals in oil sands deposits52. ............................. 28

Figure 2.7 Structure of kaolinite clays36. Red: oxygen; yellow: silicon; purple: aluminum;

white: hydrogen. ............................................................................................................... 29

Figure 2.8 Stairstep card-house structure of aggregated kaolinite particles53. ................. 31

Figure 3.1 X-ray diffraction (XRD) analysis of kaolinite................................................. 35

Figure 3.2 Schematics of preparing kaolinite (a) Si-basal plane, (b) Al-basal plane, and (c)

edge surfaces. .................................................................................................................... 37

Figure 3.3 Illustration of the electric double layer (shown as grey thin layer) surrounding

the AFM tip, kaolinite and substrate in electrolyte solutions with 𝜅 − 1 less than the

thickness (d) of the kaolinite particle. ............................................................................... 39

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Figure 3.4 SEM images of the side view of (a) a cantilever with a DNP-10 AFM tip on top

at low magnification, (b) DNP-10 AFM tip at high magnification, (c) cantilever with a

SNL-10 AFM tip on top at low magnification, and (d) SNL-10 AFM tip at high

magnification. ................................................................................................................... 41

Figure 3.5 Schematic illustration of the AFM tip-flat surface system used in the theoretical

calculation. Angles α and β are the geometrical angles for the spherical cap at the tip apex

and the conical tip body, respectively, and α + β = 90°; D refers to the separation between

the end of the tip apex and the surface of the substrate; L is the distance from the AFM tip

to the substrate; R is the radius of the spherical cap at the tip apex; r is the radius of the tip

at a given vertical position40. ............................................................................................ 42

Figure 4.1 Zeta Potential of silica wafer in 10 mM KCl solutions at pH 8 and 11 with

varying concentrations of divalent cations (Ca2+ and Mg2+, respectively) determined using

the streaming potential method. ........................................................................................ 49

Figure 4.2 Comparison of the zeta potential of Si3N4 nano particles with the Stern potential

of AFM Si3N4 tip in 10 mM KCl solutions at pH 8 and 11 containing different

concentrations of (a) Ca2+ and (b) Mg2+. .......................................................................... 51

Figure 4.3 Interaction forces between the AFM Si3N4 tip and the silica wafer in 10 mM

KCl solutions (a) at different pH, (b) at pH 8 containing different concentrations of Ca2+,

(c) at pH 8 containing different concentrations of Mg2+, (d) at pH 11 containing different

concentrations of Ca2+, and (e) at pH 11 containing different concentrations of Mg2+; and

(f) Comparison of the Stern potentials of the AFM Si3N4 tip obtained in this this study with

those reported in literature. ............................................................................................... 53

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Figure 4.4 (a) Representative AFM image of a silica wafer surface; and typical interaction

forces (solid lines represent theoretical DLVO forces, open symbols represent

experimental data) between the AFM Si tip and the silica wafer in 10 mM KCl solutions

(b) at different pH, (c) at pH 8 containing different concentrations of Ca2+, (d) at pH 8

containing different concentrations of Mg2+, (e) at pH 11 containing different

concentrations of Ca2+, and (f) at pH 11 containing different concentrations of Mg2+. ... 57

Figure 4.5 SEM images of kaolinite particles deposited on (a) glass substrate and (b)

sapphire substrate after drying on a hot plate; AFM images of kaolinite particles deposited

on (c) glass substrate and (d) sapphire substrate, after the substrate was rinsed with Milli-

Q water and blown dry. ..................................................................................................... 59

Figure 4.6 Interaction forces between an AFM tip and silica wafer (a), kaolinite particles

sitting on a glass substrate (b), and particles sitting on a sapphire substrate (c) in 10 mM

KCl solutions of pH 5 (open symbols represent experimental data, and solid lines represent

theoretical DLVO forces). ................................................................................................ 61

Figure 4.7 SEM images of (a) kaolinite particles deposited on the resin surface, and (b)

kaolinite edge surfaces prepared by ultramicrotome cutting technique; and (c) AFM image

of kaolinite edge surfaces.................................................................................................. 62

Figure 4.8 Interaction forces between the AFM Si3N4 tip and the kaolinite Si-basal plane

in 10 mM KCl solutions (a) at different pH, (b) at pH 8 containing different concentrations

of Ca2+, (c) at pH 8 containing different concentrations of Mg2+, (d) at pH 11 containing

different concentrations of Ca2+, and (e) at pH 11 containing different concentrations of

Mg2+; and (f) Summary of the Stern potential of kaolinite Si-basal plane at pH 8 and 11 in

10 mM KCl solutions containing different concentrations of Ca2+ and Mg2+. ................. 64

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Figure 4.9 Interaction forces between the AFM Si3N4 tip and the Al-basal plane of kaolinite

in 10 mM KCl solutions (a) at different pH, (b) at pH 8 containing different concentrations

of Ca2+, (c) at pH 8 containing different concentrations of Mg2+, (d) at pH 11 containing

different concentrations of Ca2+, and (e) at pH 11 containing different concentrations of

Mg2+; and (f) Summary of the Stern potential of kaolinite Al-basal plane at pH 8 and 11 in

10 mM KCl solutions containing different concentrations of Ca2+ and Mg2+. ................. 68

Figure 4.10 Typical interaction forces between the AFM Si tip and kaolinite edge surface

in10 mM KCl solutions (a) at different pH, (b) at pH 8 containing different concentrations

of Ca2+, (c) at pH 8 containing different concentrations of Mg2+, (d) at pH 11 containing

different concentrations of Ca2+, and (e) at pH 11 containing different concentrations of

Mg2+; and (f) summary of the Stern potentials of kaolinite edge surfaces. ...................... 72

Figure 4.11 Schematics of the adsorption of divalent cations on kaolinite surfaces at pH 8.

........................................................................................................................................... 77

Figure 4.12 Schematics of the adsorption of divalent cations on kaolinite surfaces at pH 11.

........................................................................................................................................... 77

Figure 5.1 Surface lattice structure of kaolinite: Top view of the T sheet (a), and atomic

resolution images of kaolinite Si-basal plane in Milli-Q water (b) and 10 mM KCl solution

(c) at pH 5; Top view of the O sheet (d), and atomic resolution images of kaolinite Al-basal

plane in Milli-Q water (e) and 10 mM KCl solution (f) at pH 5; with insets being high

resolution views (top) and 2D spectrum (Fast Fourier Transform) image of the same data

(bottom) (large white, solid circle represents oxygen; large, dotted circle shows the fourth

oxygen atom of each tetrahedron pointing downward; small red circle represents silicon;

large grey, solid circle represents hydroxyl; small blue circle represents aluminum). ..... 80

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Figure 5.2 Atomic resolution images of kaolinite Si-basal (a), and Al-basal plane (b) in 10

mM KCl + 1 mM Ca2+ at pH 8; kaolinite Si-basal plane (c), and Al-basal plane (d) in 10

mM KCl + 1 mM Ca2+ at pH 11. ...................................................................................... 83

Figure 5.3 Schematic of AFM tip scanning surface in solution. ...................................... 84

Figure 6.1 Impact of solution pH on the shear yield stress of kaolinite suspension. ........ 88

Figure 6.2 Interaction energy/unit area between different kaolinite surfaces in 10 mM KCl

solutions at different pHs. ................................................................................................. 89

Figure 6.3 Proposed aggregate structures: (a) card house structure; (b) parallel stacking; (c)

dispersed structure. ........................................................................................................... 92

Figure 6.4 Settling performance of kaolinite suspension.................................................. 93

Figure 6.5 Impact of divalent cations on the interaction energy/unit area between different

kaolinite surfaces. ............................................................................................................. 94

Figure 6.6 Proposed aggregate structures in 10 mM KCl solutions with 0, 0.1 mM Ca2+

addition (a), with 0.5 and 1 mM Ca2+ addition (b), and with 5 mM Ca2+ addition (c). .... 96

Figure 6.7 Impact of Mg2+ on the settling performance of kaolinite suspension. ............ 97

Figure A1. Image processing procedure. (a) Original atomic resolution image after being

flattened, (b) Spectrum 2D image, (c) inverse FFT image, and (d) zoomed-in view of (c).

......................................................................................................................................... 109

Figure C1. Concentration diagram for 10-3 mol/L Ca2+ and Mg2+ . ................................ 113

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Nomenclature

Abbreviations

AFM atomic force microscope

BC boundary condition

CEC cation exchange capacity

EDL electrical double layer

FFT fluid fine tailings

IEP isoelectric point

ISR initial settling rate

MFT mature fine tailings

PZC point of zero charge

SEM scanning electron microscope

Symbols

A Hamaker constant, J

𝑐0 bulk concentration of the salt

𝑒 electronic charge, 1.6×10-19 C

𝐹𝐷𝐿𝑉𝑂 DLVO force, N

𝐹𝑒𝑑𝑙 electrostatic double-layer force, N

𝐹𝑣𝑑𝑤 van der Waals force, N

ℎ Planck’s constant, 6.63×10-34 J·s

𝑘𝐵 Boltzmann constant, 1.38×10-23 J/K

n refractive indexes

𝑛𝑖0 bulk concentration of electrolyte i, ions/m3

𝜈𝑒 main electronic absorption frequency in the UV region, s−1

𝑧𝑖 valence of ion i

Greek symbols

𝛾 shear rate, P

ε static dielectric constants

𝜀0 permittivity of vacuum, 8.85×10-12 C/mV

𝜂𝑃 plastic viscosity, mPa.s

κ-1 Debye length, m

σ surface charge density, C/m2

τ shear stress, Pa

𝜏𝐵 Bingham yield stress, Pa

𝜓 surface potential, V

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Chapter 1 Introduction

1.1 Background and motivations

Oil Sands industry makes a major contribution to the economy of Canada. However, this

profitable industry has caused serious environmental problem due to the generation of oil

sands tailings, which mostly consists of kaolinite particles. The treatment of oil sands

tailings and the reclamation of land are of great significance for environmental protection.

The Alberta Energy Regulator enacted the Directive 074 to force operators to capture the

fluid fine tailings (FFT) within 1 year of deposition and fully reclaim the landscape in 5

years. Unfortunately, since this was beyond the technology at that time, enforcement of

Directive 074 was suspended in April 2015 due to difficulty in meeting all its targets.

Directive 074 was replaced by directive 085 at October, 2017. Directive 085 requires that

the fluid tailings volumes to be managed during and after mine operation, and the fluid

tailings should be progressively reclaimed during the life of a project. New directive

demands all fluid tailings that are related to a project need to be ready to reclaim within ten

years after the end of mine life of that project.

As an unsolved problem, management of oil sands tailings still draws considerable research

attention. The main problem of the tailings is that the fine particles in the tailings ponds

cannot form dense flocs and then settle down fast, which is caused by the repulsive

electrical double layer (EDL) forces among the charged fine particles. Currently, the two

most effective methods used in dewatering of oil sands tailings are flocculation and

coagulation. Flocculation uses polymers to bridge particles into large flocs, and the

polymer bridge can extend beyond the range of electrical double layer (EDL) repulsion.

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Coagulation uses inorganic multivalent cations to depress the repulsive forces till the

attractive van der Waals forces become dominant and are able to bring and hold the

particles together.

To manipulate the settling process, the charging characteristics of the fine clay particles

should be well understood, as well as how the solution pH and the ions in the process water

affect the charging features of the particles. As the main reagent used in oil sands tailings

treatment, divalent cations and their impact on the anisotropic surface charging

characteristics of kaolinite particle became the focus of this research. The ion adsorption

mechanisms were also deeply investigated.

1.2 Objectives and scope of the thesis

The major objective of this work is to study the effect of monovalent and divalent ions on

the anisotropic surface charging properties of kaolinite. Through the study of the Stern

potential of kaolinite different surfaces under various solution conditions, possible ion

adsorption mechanisms were proposed, and the mechanisms were further elucidated by

atomic resolution imaging.

In the first part of this thesis, kaolinite samples were carefully prepared to expose the three

different kinds of surfaces of plate-like kaolinite particles. Then AFM force measurements

were performed on each kind of surface to explore the impact of background electrolyte

pH and the impact of the concentration of divalent cations at lower and higher pHs. By

analyzing the experimental data, proper ion adsorption mechanisms were proposed to

explain the effect of different cations at different solution conditions.

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In the second part of this thesis, atomic resolution imaging was conducted to confirm the

ion adsorption mechanisms proposed in the first part. With the observation on the change

in surface lattice structure caused by adsorption of divalent cations at high solution pH,

specific adsorption was directly visualized and identified for the first time without

involving any EDL model.

In the last part of this thesis, the knowledge learnt from microscopic scale study was applied

to understand the behavior of kaolinite particles in the macroscopic processes. Using the

Stern potentials obtained in the first part of this work, the interaction energies between

different kaolinite surfaces were calculated to explain the rheology and the settling

behaviors of kaolinite suspension.

1.3 Organization of the dissertation

This thesis consists of seven chapters.

Chapter 1 provides a short statement of the background, the origin and the main objectives

of this research.

Chapter 2 presents a literature review on the most relevant background information or

previous research on anisotropic surface charging properties of kaolinite particles.

Chapter 3 gives detailed descriptions of the materials and key experimental methods used

in this study.

Chapter 4 shows the experimental data and in-depth data analysis on the Stern potential

results. Corresponding ion adsorption mechanisms were proposed according to the

experimental results.

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Chapter 5 investigates the suggested ion adsorption mechanisms using experiments that

were designed and performed to confirm our theory.

Chapter 6 uses the fundamental knowledge we gained in the microscopic scale to

understand the kaolinite suspension behavior happens in the macroscopic level. By doing

this, we were hoping the fundamental knowledge can provide guidance for the application

in the real world.

Chapter 7 summarizes the work presented in this dissertation and gives suggestions on

future work in this research field.

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Chapter 2 Literature Review

2.1 An overview of bitumen extraction

2.1.1 Fundamentals of water-based bitumen extraction process

Oil sands are a kind of valuable unconventional fossil fuel, which spread throughout the

world. Canada and Venezuela are the two countries that own the world’s two largest

sources of bitumen. In Canada, bitumen mostly concentrates in the province of Alberta.

Thanks to the devotion of Dr. Karl Clark on oil sands extraction, bitumen recovery can be

commercialized. The modified versions of the Clark Hot Water Extraction process (CHWE)

are still being used in the current bitumen extraction, in which bitumen is separated from

sand and clay particles by the joint efforts of mechanical energy, heat, and the presence of

surfactants and caustic addition. This process is illustrated in Figure 2.1.

Figure 2.1 Program diagram of bitumen production from oil sands by open-pit mining

technology1.

The bitumen recovery process basically obeys the following procedures2:

1) Lump size reduction. In tumblers or hydrotransport pipelines, warm water heats up the

lump surface, and the surface of lump is sheared away.

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2) Bitumen liberation or separation. The influencing factors of the rate of this step are

process temperature, mechanical agitation, chemical additives and interfacial properties.

3) The liberated bitumen attaches to an air bubble. The occurrence of bitumen attaching to

an air bubble or engulfing an air bubble is determined by the process temperature. Under a

low temperature (< 35˚C), the attachment of bitumen to air bubble takes place, while

bitumen engulfs the air bubble in a warm (around 45 ˚C) or high (75~80 ˚C) temperature

condition.

4) Bitumen flotation. After aeration, bitumen floats up to the top of the vessel and the

bitumen froth can be recovered.

2.1.2 Bitumen extraction process influence factors

2.1.2.1 Slurry pH

In bitumen flotation, the induction time and contact angle can reflect the floatability and

flotation rate. Wang et al.3 measured the induction time in process water with different pH,

and found out that the induction time changed marginally for pH 8 and 9 and increased

significantly with a further increase in pH above 9.

The research of Liu et al.4 reported that the solution pH greatly affected both the long-range

and adhesion forces in a 1 mM KCl solution. The study showed that at low solution pH

(say, pH < 7), the repulsive force between bitumen surfaces was low and the adhesion force

was high, which was favorable for bitumen aeration but not favorable for bitumen

liberation. The research also revealed that the contact angle changed slowly at pH below 8

and decreased drastically at pH 10.

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Besides, the generation of the surfactants from the acids present in the bitumen is pH

dependent. Increasing the slurry pH would lead to an enhanced natural surfactant

generation.

2.1.2.2 Electric Surface Potential (Zeta Potential)

The electrokinetic behavior of bitumen in aqueous media is due to the interaction of polar

groups contained by bitumen. Takamura and Chow5 used the ionizable surface group

model to explain the electrical properties of the bitumen/water interface, thus, the effect of

pH and calcium ions on bitumen displacement from sand grain could be understood.

Liu et al.6 reported the change of zeta potential of bitumen with solution pH at different

levels of calcium addition. The results showed that higher solution pH and lower calcium

concentration resulted in a system of more negative bitumen zeta potential, which is

favorable for bitumen detachment from the silica surface.

2.1.2.3 Ions

Typically, industrial recycle process water contains various types and amount of inorganic

ions, among which the dominant ions are Na+, Cl-, HCO3-, SO42- and a small portion of

divalent cations of Ca2+ and Mg2+.7 In bitumen extraction, ions in the process water have a

significant impact on bitumen recovery and bitumen froth quality.

Monovalent metal ions (Na+, K+)

In industrial recycle process water, the concentration of sodium ions can reach up to 1000

ppm8. Coagulation would not take place at a low sodium concentration (e.g., below 10

mM), while a sodium concentration higher than 50-75 mM would cause coagulation, thus

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reducing bitumen recovery9–11. However, the affiliation of sodium ions with anions (such

as HCO3-) should also be taken into consideration.

Bicarbonate ions (HCO3-)

As a dominant anionic species in process water, bicarbonate ions can help buffer the slurry

in bitumen extraction at a mildly alkaline pH, which reduces the demand for caustic7.

Besides, the presence of bicarbonate ions precipitated Ca2+ from the extraction process

water, dispersed fine solids and reduced the bitumen-solid adhesion forces and thus

improving the quality of bitumen extraction and bitumen froth.

Zhao et al.7 found out that by adding small amount of acid (containing HCO3-) into the

water, the equilibrium of reactions (1.1) would be driven to the left side, and the happening

of reaction (1.2) could increase the concentration of CO32-, which caused the precipitation

of Ca2+. The mechanism can be seen as follows.

H2CO3 ⟺ H+ + HCO3− (1.1)

HCO3− ⟺ H+ + CO3

2− (1.2)

Ca2+ + CO32− ⟺ CaCO3 (1.3)

Divalent metal ions (Ca2+, Mg2+)

It was reported12 that, in the water-based extraction of bitumen from oil sands, Ca2+ and

Mg2+ in the process water had a great impact on the bitumen recovery. Ca2+ and Mg2+ were

found to have a negative impact on bitumen liberation by Zhao et al.13. This is due to the

increase of adhesion force and the decrease of long-range repulsive forces between silica

and bitumen by the presence of the calcium and magnesium cations.

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In aqueous based bitumen extraction system, calcium ion (Ca2+) is one of the divalent ions

added to alter the bitumen surface properties. According to the work by Liu et al.4, calcium

ions could absorb on the bitumen surface through a chemical bond with surface carboxylic

groups (RCOO-) and thus affecting the bitumen surface properties. Besides, Ca2+ can also

compress the electrostatic double layer. Their study indicated that the addition of Ca2+

weakened the attractive hydrophobic forces and the adhesion forces between bitumen

surfaces, therefore the bitumen droplets could easily coagulate but were also easier to break

up.

Calcium ions have a negative effect on bitumen liberation and oil sands lump crumbling

due to their influence on reducing the receding rate of bitumen/liquid/solid three phase

contact line14,15. Moreover, the presence of divalent ions can inhibit the ability of NaOH

solution (pH = 11.8) to cause crumbling16.

According to the work of Xu and Masliyah17, the type of metal ions did not affect the

bitumen recovery results, it was the valence that accounted for the depression effect.

Besides, the reduction of bitumen recovery was not generated by the divalent cations alone,

but because of their presence in combination with other factors, such as the existence of

clay.

2.1.2.4 Surfactants

The addition of NaOH ionizes the organic acid in bitumen to generate surfactants, which

is proposed to be able to establish a three-phase contact point to initiate bitumen recession

from the sand grains and affect the electric surface potential of bitumen and fine solids. A

mechanical model that the surfactants can reduce the oil solution interfacial tension has

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been proposed to explain why the released surfactants contribute to bitumen separation, yet

the model still remains to be verified8. However, it is a fact that alkaline pH environment

can improve bitumen recovery due to increased activity of surfactants, negative charges on

clay and sand surfaces, and reduced interfacial tension between bitumen droplets and

solids18.

2.1.3 Oil sands tailings

It was in 1967 when the Great Canadian Oil Sands (GCOS, now Suncor) learned that the

fine solids in tailings could not settle nor consolidate fast, so that oil sands tailings started

to become a problem because the tailings had to be stored in huge tailings ponds for a very

long time19. With the rapid expansion of oil sands industry, this problem is becoming more

and more intense, and the currently-existing tailings pounds occupy a total area of more

than 130 square kilometers20.

Oil sands tailings contain dissolved salts, organics, sands, fines (silts and clays),

unrecovered bitumen, and a large amount of water that can be recycled as process water

for the extraction process. The sand in the discharged slurry settles out quickly with the

trap of some fines and water, but some fines take decades to settle, thus forming the three

fractions as shown in Figure 2.2: (1) a clarified surface water layer (contains about 15-70

mg/L suspended solids); (2) a transition zone, in which the fines are settling; and (3) the

fluid fine tailing (FFT) zone, which has 15%-30% solids content. With time, a higher solids

content (>30%) tailings (mature fine tailing, shorted as MFT) is created with further

settling21.

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Figure 2.2 Formation of water layers in a tailings pond.

2.1.4 Tailings management methods

Since 1967, tailings management in oil sands industry has evolved for over 50 years, which

can be divided into three overlapping development periods21:

1960s through 1980s: Waste management period. Large dams were built to store FFT, and

space was left to long-term storage.

1990s through 2000s: Creating solid tailings landscapes. R & D of this period focused on

sand capped composite tailings and water capped MFT end pit lakes.

2010s: Reducing the generation of tailings and speeding reclamation to meet new

regulatory goals.

There are five process methods22 currently being used to release water from oil sands

tailings, which are described as follows:

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Method I: In a solid-bowl scroll centrifuge, with the addition of coagulant such as gypsum,

about 55% of the solids contents are consolidated into the centrifuge cake, which is

deposited in relatively thin lifts of 2t/m2-y in cells. After a winter freeze-thaw cycle, the

cake will reach its peak shear strength before an additional lift is placed. Alternatively, the

cake is continuously deposited into deep, in-pit deposits, the release of water can only

depend on self-weight consolidation.

Method II: In-line flocculation of FFT is used, and the flocculated slurry is discharged into

thin lifts into cells. The solids content is up to 60% after initial dewatering, and the

dewatered material can be put into the overburden cells. Evaporation and freeze-thaw will

help remove more water to form an integral part of a disposal structure.

Method III: In-line flocculated FFT is put in deep, large deposits. The water expressed from

the deposit is decanted from the surface with the aid of rim-diching of the deposit or

channels built on the surface. Further increase of the solids contents relies on the self-

weight consolidation.

Method IV: The FFT is drawn from the extraction process to be flocculated and thickened

in a mechanical thickener. The thickened tailings generated from this process are either

placed in deep deposits for further dewatering by consolidation, or discharged in thin lifts.

Method V: FFT is blended with sand slurry with high solids content, and with the addition

of flocculants or coagulants, a non-segregating mix with a moderately high sand-to-fines

ratio is formed and then discharged into a deep deposit. If the source of the fines is mature

fine tailings, the product is called composite tailings, otherwise, the product is called non-

segregating tailings if the source of the fines is thickened tailings.

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The following Table 2.1 lists the tailings management methods that are currently in

commercial operation and that are still in R & D19.

Table 2.1 Tailings management methods status

Status Tailings management methods

In current commercial

operation

Composite tailings, thickened

tailings, in-line flocculation, thin-lift

dewatering of MFT

Ready for commercial

implementation

In-line flocculation, thin-lift

dewatering of MFT, centrifugation,

MFT spiking of whole tailings

In R& D Freeze-thaw consolidation of fine

tailings

2.2 An introduction to clay minerals

2.2.1 Definition of clay and clay minerals

Because clay scientists come from diverse disciplines, there are no uniform definitions for

clay and clay mineral so far. The latest effort in this direction was made by the joint

nomenclature committees (JNCs) of the Association Internationale pour L’Etude des

Argiles (AIPEA) and the Clay Minerals Society (CMS). ‘Clay’ was defined by JNCs as “a

naturally occurring material composed primarily of fine-grained minerals, which is

generally plastic at appropriate water contents and will harden with dried or fired”23, while

‘clay mineral’ was defined as “phyllosilicate minerals and minerals which impart plasticity

to clay and which harden upon drying or firing” 24. On top of this, Moore25 pointed out that,

although most of the minerals we have been dealing with are phyllosilicates, there are still

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some exceptions. As researchers, first, we must separate the term ‘clay’ from ‘clay mineral’,

and the differences between clay and clay mineral are listed in Table 2.2.

Table 2.2 Distinction between clay and clay minerals24

Clay Clay mineral

Natural Natural and synthetic

Fine-grained (< 2 μm or < 4 μm) No size criterion

Phyllosilicates as principal constituents May include non-phyllosilicates

Plastic Plastic

Hardens on drying or firing Hardens on drying or firing

Phyllosilicates, which mainly includes seven groups25: the 1:1 type serpentine-kaolin; the

2:1 type talc-pyrophyllite, smectite, vermiculite, true (flexible) mica, brittle mica, and

chlorite.

Clay minerals, or more specifically, phyllosilicates, are characterized by the following

properties24: i. a layered structure with nanometer range (the layer thickness of the 1:1 (TO)

type is ~0.7 nm, and that of the 2:1 (TOT) type is ~1 nm); ii. the anisotropy of the layers

or particles; iii. the existence of different types of topographies: external basal surfaces,

edge surfaces, and internal (interlayer) surfaces; iv. the ease of surface modification (by

adsorption, ion exchange, or grafting), typically external, and often internal surfaces; v.

plasticity, and vi. hardening on drying or firing (with few exceptions).

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2.2.2 Applications of clay minerals

Clay minerals are widely used in our daily life, modern industries, lab research, etc. The

ever-growing applications of clay minerals make them a hot topic for scientists. Table 2.3

shows the common uses of clay minerals.

Table 2.3 Common uses of clay minerals

Layer

type Group Industry field Common application Typical mineral Chemical formula

1:1 Kaolin

Paper,

plastics,

rubber

Pesticides

Pesticides

Ceramics

Filler,

Carrier, diluent

Porcelain,

Kaolinite Al2Si2O5(OH)4

2:1

Talc

Plastics,

rubber, paper

industry

Cosmetics,

pharmaceutics

Refractory

industry

Filler

Powders, pastes,

lotions

Refractories

Talc Mg3Si4O10(OH)2

Smectite

Building

industry

Pesticides

Cosmetics

Brick, roofing tile

Carrier

Bases of creams

Montmorillonite

(Na,Ca)0.33(Al,Mg)

2(Si4O10)(OH)2·nH2

O

Vermiculite

Construction

Package

Foundries

Heat insulation,

sound dissipation

Shock proof

materials, liquid

absorption

Thermal protection

Vermiculite

(Mg,Fe,Al)3(Al,Si)

4 O10(OH)24H2O

Mica

Electrical

industry

Paints

Cosmetics

Coating

Insulation

UV-, heat-stable and

under-water paints

Nacreous pigments

Corrosion proof,

polymer coating,

underseal

Muscovite

Illite

KAl2

(AlSi3O10)(OH)2

(K,H3O)(Al,Mg,Fe

)2(Si,Al)4O10[(OH)

2,(H2O)]

Chlorite Very few

industrial uses - Clinochlore

(Mg5Al)(AlSi3)O10

(OH)8

Source: adapted from Bergaya, F., 200624

However, apart from all the useful applications in industry, clay minerals, such as kaolinite,

chlorite, and smectite, can also be troublemakers in the purification of valuable mineral

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resources and in the dewatering of tailings to achieve disposable sedimentation/

consolidation.

2.2.3 The anisotropic surface property of clay minerals

2.2.3.1 Structure of clay minerals

The structural elements of most clay minerals are based on two-dimensional arrays of Si-

O tetrahedral sheet (T) and two-dimensional arrays of Al- or Mg-O-OH octahedral sheet

(O)26. According to the ratio of T and O, phyllosilicates are classified as bilayer (1:1 type,

TO) and trilayer (2:1, TOT). In 1:1 type structure, the unit layer is made of one T sheet and

one O sheet, while the 2:1 type structure is characterized by one O sheet sandwiched

between two T sheets. Individual layers are held together through interlayer cations, van

der Waals interactions, electrostatic forces, and/or hydrogen bonding. The perfect

tetrahedron and octahedron sheets are electrically neutral, but when higher valance cations

are substituted by lower valence cations of similar sizes, (such as Si4+ is substituted by Al3+

in T, and Al3+ by Mg2+ in O), a net charge deficiency is generated. This phenomenon is

called isomorphic substitution. The charge deficiency is balanced by interstitial

compensating cations (K+, Na+, NH4+, Ca2+, Mg2+, Fe2+, etc.) to make the clay minerals

electrically neutral.

Due to the layered structure, a clay mineral consists of two different surfaces: the basal

surface and the edge surface, as shown in the Figure 2.3.

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Figure 2.3 Schematics of phyllosilicates with anisotropic surfaces.

The tetrahedral sheet (as shown in Figure 2.4) is composed of silicon-oxygen tetrahedrons

with oxygen atoms located on the four corners of each tetrahedron while the silicon atom

sits in the center. Three out of the four oxygen atoms of a tetrahedron are shared by three

neighboring tetrahedron, and the fourth oxygen atom (the apical oxygen) pointed

downward and forms part of the adjacent octahedral sheet26.

Figure 2.4 Structure of the tetrahedral sheet27. (a) tetrahedral arrangement of Si and O, (b)

projection of tetrahedron on plane of sheet, (b) top view of tetrahedral sheet (dotted red

line: unit cell area). Large grey circles represent oxygen; small red circles, silicon.

The octahedral sheet as shown in Figure 2.5 is linked laterally by sharing octahedral edges,

in which, Al or Mg atoms are coordinated with six O atoms or OH groups which are located

around the Al or Mg atom with their centers on the six corners of an octahedron. The O

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atoms and the OH groups lie in two parallel planes with Al or Mg atoms between these two

planes26.

Figure 2.5 Structure of the octahedral sheet27. (a) octahedral arrangement of Al or Mg with

O or OH, (b) projection of octahedron in two dimensions, and (c) top view of octahedral

sheet (dotted red line: unit cell area). Large white circles represent oxygen atoms; large

grey circles represent hydroxyl groups; small blue circles, aluminum atoms.

2.2.3.2 Layer/ surface charging mechanisms

For a phyllosilicate, the tetrahedral sheet and the octahedral sheet join together to form a

layer, which can be electrically neutral or negatively charged. A electrically neutral layer

case occurs when (i) two octahedral sites are occupied by trivalent cations (usually Al3+

and Fe3+) in the O sheet, and leaves a vacancy in the third octahedron; (ii) all the octahedral

sites are taken by divalent cations (usually Fe2+, Mg2+, Mn2+); and (iii) all the tetrahedra in

T sheet contains Si4+. A negatively charged layer case comes from (i) isomorphic

substitution of Al3+ for Si4+ in tetrahedral sites, and Mg2+ for Al3+ in octahedral sites; (ii)

the existence of vacancies. Layer charge is of great significance to 2:1 phyllosilicates,

because of which the exchangeable cations occupancy the interlayer space, and the

negative layer charge varies from 0.2 to 2.0 per formula unit for different phyllosilicates.

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For 1:1 type phyllosilicates, the layer charge is usually zero per formula unit,

approximately24.

The surfaces of a clay mineral can be negatively, positively charged, or electrical neutral

due to different charging mechanisms on distinct surfaces. For basal surface, the prevailing

charging mechanism is isomorphic substitution, while for edge surface, surface charges

mainly come from the hydrolysis reactions of broken bonds28.

When immersed in an aqueous environment, metal ions will be adsorbed on the mineral

surfaces due to: (i) electrostatic interaction between metal cations and the negatively

charged or neutral mineral surfaces; and (ii) specific adsorption of divalent cations and

surface complexation.

2.2.3.3 Importance of anisotropic surface property

The layered structure of clay mineral makes the particle have distinct surfaces and thus,

anisotropic surface property for each surface. Anisotropic surface property dominates the

chemical and physical characteristics of clay minerals, such as colloidal stability, swelling,

ion exchange, etc28. For example, in the dewatering of oil sands tailings, the maximum

coagulation should occur at the point of zero charge (PZC) of the particles dispersed in the

suspension, however, the PZC obtained from the correlation used to calculate the

maximum coagulation point is only valid for isotropic particles, therefore, large

discrepancy exists between the calculated PZC and the optimal pH condition for particle

coagulation due to the anisotropic surface property of clay minerals. In this regard, the

probing of the anisotropic surface properties of phyllosilicates is critical to the development

of clay science and the applications of clay minerals in various fields.

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2.2.4 Investigation techniques for surface property of clay minerals

The surface property of phyllosilicates is of significant importance and has been

extensively studied using various techniques, which are mainly electrophoretic mobility

(EPM) measurement, potentiometric titration, sum frequency generation spectroscopy and

AFM. However, due to the limitation of individual technique, it is not surprising to see

very distinct results for the same kind of clay mineral. Here we briefly introduce the pros

and cons of commonly used investigation methods.

2.2.4.1 Electrophoretic mobility (EPM) measurement

Electrophoretic mobility measurement is one of the common methods used to yield the zeta

potential of the particles when they are moving in an aqueous solution under the influence

of an electric field. Sondi et al.29 used the measurement of EPM to study the electrokinetic

behavior of three pure clay minerals: montmorillonite, illite and chlorites, and the

isoelectric point (IEP) of chlorite was found to be at pH 5.0 0.2, while there were no IEP

found for illite and montmorillonite. However, this method is used to deduce the zeta

potential of the whole particle with assumption that the particles are spherical, which is far

from the fact that phyllosilicates are platy and have anisotropic surface charging

characteristics.

2.2.4.2 Potentiometric titration

The principle of potentiometric titration method is based on the ion exchange in solution,

thus the results are not affected by the shape of the particles, but it still does not take the

anisotropic property of clay minerals into consideration. Also, this method is limited to

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systems without specific adsorbing ions in the solution. Therefore, the PZC of clay

minerals determined by this method are not in good consistency30.

2.2.4.3 Sum frequency generation (SFG) spectroscopy

SFG is used to explore the surface property of individual surface of clay minerals. In SFG

method, two laser beams mix at an interface and generate an output beam. The frequency

of the output is equal to the sum of the two input frequencies, and the direction of the output

beam is given by the sum of the wavevectors of the two incident beams. When mineral

particles are in contact of water at different pHs, protonation/deprotonation reactions

happen and generate different interfacial water species. By analyzing the frequency

intensities and the orientations of different interfacial water species at different pHs, the

PZC of mineral particles can be estimated31. However, it is still a nascent technique without

routine experimental setup and interpretation of the results32, and there are few reports on

the investigation of phyllosilicate surface properties using this method28.

2.2.4.5 Atomic force microscopy

The atomic force microscope was invented by Gerber et al.33 in the 1980s. AFM is a

powerful and mature tool that can be used to image the topography of conducting and

insulating surfaces with high resolution, and even with atomic resolution in some cases. In

addition, AFM also allows the measurement of force-versus-distance curves, which can

give us valuable information, such as the elasticity, hardness, surface potential, surface

charge density, Hamaker constant etc. The single molecule force measurement of AFM,

which mainly involves the rupture of single chemical bonds and the stretching of polymer

chains, enables us to acquire the interactions of a single molecular pair34.

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The commercially fabricated tips used to scan the surfaces of clay minerals are silicon

nitride (Si3N4) tip and silicon tip (Si), and the radii of the tips are usually between a few

nanometers and a few tens of micrometers. In addition, the force measurement can be as

sensitive as in pico-newton (pN) scale. So, AFM is very suitable for probing the surface

property of clay minerals (whose size is usually in the scale of micron), and the interaction

forces between AFM tip and clay surfaces in an aqueous/colloidal environment.

2.2.5 Probing anisotropic surface property of clay minerals using AFM

The use of AFM for surface property exploration of clay minerals was confined due to the

challenge of creating smooth enough surface. In recent years, due to the development of

ultramicrotome-cutting technology, which is able to provide surface smooth enough for

AFM force measurement between AFM tip and the clay surface, AFM has been used in

the study of the anisotropic surface properties of phyllosilicates, such as kaolinite, chlorite,

mica, talc, MoS2, illite, smectite, etc.

2.2.5.1 Sample preparation

When applying the AFM technique to determine the surface property of phyllosilicates,

sample preparation is a critical step because a selected surface is hard to obtain and surface

roughness greatly affects the accuracy of the results. A routine procedure has already been

developed to make selected basal plane and edge surfaces.

Kaolinite, which is composed of one silica tetrahedral basal plane, one alumina octahedral

basal plane, and edge surfaces, has been studied by Gupta35, Liu36, et al. The silica basal

surface is believed to be negatively charged permanently, while the alumina basal surface

is slightly pH-dependent. According to these charging characteristics, selected basal

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surface can be prepared. In Gupta’s work35, silica basal surfaces were exposed by

depositing kaolinite particles onto glass substrates (which carries negative charges at pH >

4, thus the positively charged alumina surfaces preferentially attached to the negatively

charged glass substrate), and the alumina basal surfaces were exposed by depositing

kaolinite particles on a fused alumina substrate (which carries positive charges at pH < 6).

Liu et al.36 completed the research on kaolinite by studying its edge surfaces through

sandwiching kaolinite particles in the center of the epoxy resin, and the epoxy block was

trimmed by a razor under optical microscope to obtain a prismatic sample with kaolinite

particles exposed, then the sample was mounted into the slot of an ultramicrotome for

cutting.

For talc, mica, and chlorite, which are easily cleaved phyllosilicates, cleaving these

materials can expose atomically flat basal surfaces without contamination37. The

preparation of edge surfaces of these phyllosilicates could also follow the above-mentioned

experimental protocol for kaolinite edge surfaces.

2.2.5.2 Theoretical model

AFM force measurement between AFM tip and clay surfaces can be used to obtain the

surface charging characteristics of phyllosilicates under aqueous environment. In such

system, the interaction forces between phyllosilicate particle and AFM tip are governed by

the sum of van der Waals (vdw) force and electrical double layer (EDL) force, which is the

DLVO theory proposed by Derjaguin and Landau38 and Verwey and Overbeek39.

𝐹𝐷𝐿𝑉𝑂 = 𝐹𝑣𝑑𝑤 + 𝐹𝑒𝑑𝑙 (2.1)

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DLVO theory is commonly adopted to fit the force curves obtained from AFM

measurement, and the derivation of the DLVO theoretical model for a pyramidal-shaped

tip and a flat substrate has been conducted by Drelich et al.40, which will be detailed

explained in Chapter 3.

2.2.5.3 Reported results

Since the application of AFM technique has been used in the research of anisotropic surface

properties of clay minerals, lots of the former results obtained from electrophoresis,

titration have been shown to be not accurate enough. The more accurate surface charging

characteristics of clay minerals should be achieved through this cutting-edge technique -

AFM. The results are collected and listed in Table 2.4.

One thing that needs to be addressed here is the definition and difference between PZC and

IEP, as they are frequently seen in reports to describe the zero charge characteristics of clay

mineral surface, but which are also not clearly separated. The PZC is defined as the point

at which the surface charge equals zero, and the IEP refers to the point at which the

electrokinetic potential (or zeta potential) equals zero. More detailed difference between

PZC and IEP was discussed by Kosmulski41.

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Table 2.4 Anisotropic surface properties of clay minerals studied by AFM

Group Clay mineral

Cleavage

(Basal)

surface

Zero charge

condition for

basal surface

Zero charge

condition for

edge surface

Background

electrolyte

solution

Kaolin Kaolinite35,36

T: Si-O-Si IEP < pH 4,

pH-dependent

PZC < pH 4,

pH-dependent

Basal

surface: 1

mM KCl

solution

Edge

surface: 5

mM KCl

solution

O: Al-OH

pH 6 < IEP <

pH 8,

pH-dependent

Talc Talc42 T: SiOSi

siloxane

~ 30 mV,

pH-independent

PZC ~ pH 8,

pH-dependent

1 mM KCl

solution

Mica

Muscovite42 T: SiOSi

siloxane

~ 70 mV,

pH-independent

pH 7 < PZC <

pH 8,

pH-dependent

1 mM KCl

solution

Illite43 T: SiOSi

siloxane

−18mV at pH

2.9, −37mV at

pH 8.3,

pH-dependent

- 1 mM KCl

solution

Chlorite Chlorite44

T: SiOSi

siloxane

IEP < pH 5.6,

pH-independent IEP ~ pH 8.5,

strongly

pH-dependent

1 mM KCl

solution O: MgOH

hydroxyl

IEP > pH 9,

slightly

pH-dependent

Sulfide

mineral Molybdenite SMoS

None detected

in pH 3.0-11.1

PZC ~ pH 3,

pH-dependent

10 mM

NaCl

solution

2.2.6 Influence of anisotropic surface property

2.2.6.1 Influence on processing of clay minerals

Mineral processing is traditionally regarded as the processing of ores or other materials to

obtain concentrated products45. Naturally, clays are mixtures of clay minerals and non-clay

minerals, and in industry, extensive processing technologies are adopted to yield clay

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minerals with a certain degree of purity. Typical processes for obtaining clay minerals may

involve24:

i) purification;

ii) wet/dry processing;

iii) particle size separation;

iv) bleaching and magnetic separation;

v) flotation and selective flocculation;

vi) drying and calcination;

vii) chemical modification and activation.

The study on anisotropic surface properties of clay minerals can help us collect useful

information, such as the clay mineral topography, surface charging characteristics, the

suspension rheology46, etc., which would be beneficial to clay mineral processing in

various ways, for example24:

1) knowledge of the surface charging characteristics is useful in setting the optimal pH

environment for the preparation of a stable dispersion of clays in wet processing, thus

avoiding the aggregation of clay mineral particles;

2) rheology properties of soda-activated bentonites and the layer arrangement within

individual montmorillonite particles determine the optimum addition of soda in the

processing of raw bentonites;

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3) particle shape and surface charge of clay minerals are important properties that affect

the sedimentation or filtration process, which can be used to choose effective process aid

agents.

2.2.6.2 Influence on industrial applications

As mentioned above, clay minerals have widely been used in numerous industrial

applications. Anisotropic surface property of clay minerals will also affect their

applications, such as:

1) in oil sands extraction, the understanding of the anisotropic surface-chemistry properties

can guide the development of flotation reagent in the flotation separation process47;

2) in oil sands tailings management, surface charging characteristics of kaolinite, chlorite,

illite, etc. are critical in finding suitable coagulants or flocculants to accelerate the

dewatering process35,36,48;

3) in flotation process of molybdenite, the anisotropic surface properties can provide

explanation of the variation in flotation recovery over the change of particle size49.

2.3 Kaolinite

2.3.1 Background information for kaolinite

Kaolinite (Al2[Si2O5](OH)4) is a kind of phyllosilicates (sheet silicates), which accounts

for about 69% of the clay in oil sands open pit mining, and other clay minerals include 28%

illite, 0.3% smectite, and 1% chlorite, and 1.7% mixed layer clay, as shown in Figure 2.6.

This overwhelming majority proportion of kaolinite makes it significantly important to

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deeply and thoroughly understand its crystal structure and surface properties, which govern

the wettability, aggregation, dispersion and flotation of kaolinite50,51. Therefore, the

aggregation of kaolinite particles could be manipulated so as to benefit the treatment of oil

sands tailings.

Figure 2.6 Relative amounts of clay minerals in oil sands deposits52.

2.3.2 Structure of kaolinite

Kaolinite is usually white and soft with a hardness of 2-2.553. Kaolinite has a perfect two-

layer clay as shown in Figure 2.7, which is composed of three kinds of surfaces, one silica

tetrahedral basal plane, one alumina octahedral basal plane, and edge surfaces. The bilayers

are bonded together by hydrogen bonds between the hydroxyl ions of the octahedral sheet

and the oxygen atoms of the silica tetrahedral sheet54. The non-expandable kaolinite has a

low isomorphous substitution (which leads to a relatively low permanent charge) and a low

cation exchange capacity (CEC).

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Figure 2.7 Structure of kaolinite clays36. Red: oxygen; yellow: silicon; purple: aluminum;

white: hydrogen.

The different surfaces of kaolinite have different charging characteristics, which is

governed by distinct charging mechanisms: isomorphous substitution on the basal plane

and hydrolysis reactions of broken bonds on the edge surface24.

In aqueous solution, the departure of the compensating cations results in the appearance of

a surface charge on the external basal surfaces and near the layer edges of kaolinite. The

silica basal plane is negatively charged permanently, and pH independent, while the

alumina basal plane is slightly pH-dependent. The exposed aluminum hydroxyl surface can

be protonated at low pH and deprotonated at high pH by following hydrolysis reactions, so

the Al-OH surface is positively charged at low pH and negatively charged at high pH55.

Whether the edges carry positive or negative charges strongly depends on pH and Si-Al

ratio, so the PZC varies24. PZC is an important parameter because particles carry a net

negative charge when the pH is above PZC, otherwise, particles carry a net positive surface

charge while below PZC.

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Table 2.5 Summary of reported PZC and IEP for kaolinite.

PZC Measurement

method IEP

Measurement

method

6-6.555 Potentiometric

titration <2.456

ζ-potential

measurements

~4.557 Titration <327 Electrophoresis

measurements

<436 AFM 2. 958 ζ-potential

measurements

The IEP reported are consistent. However, the indirect derivations of the surface charges

of kaolinite particle vary over a wide range, and some of them can even be very misleading.

Therefore, a reliable experimental measurement of the charging characteristics of kaolinite

surfaces is necessary53.

2.3.3 Particle aggregation

In hydrous dispersions, the dispersed clay particles can be observed to collide frequently

due to the Brownian motion, but they separate again after the collision. However, this

situation can be changed by just adding a small amount of salt. The clay particles stick

together upon collision, and this phenomenon is called flocculation or coagulation52. The

generation of this phenomenon can be explained by the theory of the stability and

flocculation of colloidal dispersions. The attraction between dispersed particles is because

of the van der Waals attraction force, while the repulsive force comes from the electrical

nature. The particle charge can be altered by the presence or absence of ionized salt in the

solutions, and the phenomenon mentioned above is because repulsion decreases when the

ion concentration increases.

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The interaction between kaolinite particles are governed by van der Waals force, electrical

double layer force, hydrophobic force, and hydration force, etc., and according to the three

different surfaces of kaolinite, there are three possible kinds of particle association modes:

F(face) to F, E (edge) to F, and E to E. As show in Figure 2.8, a card-house structure

was proposed for the kaolinite particle aggregates in suspension26.

Figure 2.8 Stairstep card-house structure of aggregated kaolinite particles53.

AFM is capable of measuring the above mentioned long-range and short-range interaction

forces between particles, and of characterizing the surfaces for microscopic clay particles.

Combined with DLVO theory, the analysis of AFM-measured forces can be used to

compare the experimental results with the theoretical model predictions, and derive the

surface potentials/charge densities, which are very useful for predicting the particle

aggregation formation and thus guiding the dewatering process in oil sands tailings

treatment40.

2.4 Ion distribution at a solid-liquid interface

Generally, an aqueous environment containing various ions is inevitable when utilizing or

removing clay mineral particles, and therefore the importance of studying ion adsorptions

and ion distributions at the charged clay-liquid interface is self-evident.

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2.4.1 Electric double layer theory

The study of charged interfaces can be traced back to about two hundred years ago. The

first theoretical model for the charge distribution at the electrified interface was brought up

by Helmholtz59, which is the simplest model of electric double layer (EDL). The Helmholtz

model treated the charge distribution on a solid surface as a plane layer of counter ions

absorbed on the surface and neutralized the surface charges, which was unrealistic

especially for solid-liquid interface. Gouy60 and Chapman61 developed the Helmholtz

model by taking into account the diffusion and thermal motion of ions. In 1924, Stern62

divided the EDL into an inner layer, the Stern layer, and an outer layer, the diffuser layer

or Gouy layer. The Stern layer starts from the inner Helmholtz plane (IHP) where the

specific adsorption occurs, and ends at the outer Helmholtz plane (OHP) where the non-

specific adsorption of hydrated counterions starts. The Stern model can give a good account

of the ion adsorption behavior at the solid-liquid interface in dilute electrolyte solutions63.

For decades, the theoretical EDL models and corresponding calculations and experiments

served for solving a universal question: how and where the ions adsorb on charged surfaces

in liquid? Different approaches led to inconsistent conclusions.

2.4.2 Debate on ion adsorption mechanisms

Although there was consensus that monovalent ions (for example, Na+, K+, Cl-) were

“indifferent” ions because they could not change the point of zero charge (PZC) of oxide

surfaces, there was a debate on whether monovalent ions could adsorb at the Stern layer.

Some believed that monovalent cations were strongly hydrated and could only interact with

the surface beyond the OHP, whilst monovalent anions behaved like individual ions and

could adsorb specifically at the interface64 because they were less hydrated. Another

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explanation to the unchanging PZC of metal oxide in simple electrolyte solutions was equal

adsorption of monovalent cations and anions in the inner layer at the PZC65.

Divalent cations were regarded as specifically adsorbed at the solid-liquid interface at all

times65,66. When Ardizzone et al.66 observed the cadmium ions and lead ions started to

strongly adsorbed onto the hematite surface at pH above 7 and above 4, respectively, the

high adsorption value ascribed to bare ions alone seemed implausible. James and Healy67–

69 attributed the specific adsorption to the partially hydrolyzed species of divalent cations

(M(OH)+), and they believed that divalent metal ions had little contributions to the

adsorption in the inner region of electrical double layers.

2.4.3 Atomic resolution imaging

The identification of specific adsorption has been ambiguous because previous

experiments were mostly indirect (for example, depending on the examination of PZC) and

corresponding analysis or calculations had to rely on the model of EDLs. All models were

based on various levels of assumptions with specific constrains. Therefore, a completely

model-independent method to identify specific adsorption at solid-liquid interface has been

imperative.

AFM is a powerful tool to study the surface morphology, which has been successfully used

to provide atomic resolution imaging on synthesized and natural clay particles. Gan et

al.70,71 obtained hexagonal lattice arrangement with a periodicity of about 0.47 nm of

sapphire (0001) surface. Mugele and Siretanu et al.72,73 studied ion adsorption on perfectly-

cleaved mica and synthesized gibbsite surfaces, and they observed the surface structure of

mica changed from hexagonal rings to rectangular symmetry due to high concentration of

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divalent cation adsorption. Mugele and Siretanu et al. 74 went further to explore the atomic

structure and surface defects of natural clay mineral, such as kaolinite, montmorillonite,

etc.. In this work, we used the technique of atomic resolution imaging to compare the

surface lattice structure before and after monovalent and divalent cations addition at low

and high solution pHs, hoping to prove the ion adsorption mechanisms we proposed during

the exploration of the influence of cations on the Stern potentials of different kaolinite

surfaces.

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Chapter 3 Materials and Methods

3.1 Materials

20 40 60 80 100

-100

0

100

200

300

400

500

600

700

800

(1 3

1)

(-2

0 1

)

(1 1

1)

(1 -

3 2

)

(-2

0 4

)

(-3

-3

1)

(2 0

0)(-1

1 0

)

Inte

nsity (

AU

)

(degrees)

(0 0

1)

(0 0

2)

(0 2

0)

(1 -

3 1

)

(-1

-1

1)

Figure 3.1 X-ray diffraction (XRD) analysis of kaolinite.

Preparation of kaolinite suspension: kaolinite particles used in this research were obtained

from IMERYS kaolinite, Inc., and were used as received. X-ray diffraction (Rigaku XRD

Ultima IV, Rigaku Corporation) pattern of the kaolinite sample shown in Figure 3.1 fits

very well with XRD pattern of 80-0886, which represents kaolinite with chemical formula

of Al2Si2O5(OH)4. Original kaolinite suspension (3.0 wt%) was prepared in high purity

Milli-Q water (Millipore Inc.) with a resistivity of 18.2 MΩ∙cm-1. The suspension was

magnetically stirred for 20 min, and then adjusted to pH 9 using 0.1 M HCl and 0.1 M

KOH solutions, followed by five minutes of sonication to fully disperse the particles. After

two hours of gravity settling (or four hours for edge surfaces preparation), the sediment of

the suspension was discarded to remove the large particles, and the supernatant was

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centrifuged at 500 g for 30 min in an Ultra Centrifuge (Sorvall WX80, Thermo Scientific

Inc.) to remove the super-fine particles. The sediment was collected and centrifuged at 300

g for another 30 min. The supernatant was again decanted and the centrifuge cake was

diluted in Milli-Q water (to about 3 wt% of clay) and then sonicated for 20 min to be fully

dispersed. The re-dispersed kaolinite suspension was adjusted to about pH 5 for kaolinite

basal planes preparation, and to pH 9 for kaolinite edge surfaces preparation.

The average particle size of the original kaolinite suspension was determined using

MasterSizer 3000 (Malvern Instruments Ltd., UK) to be 6.6 µm. The re-dispersed kaolinite

particles have the average size of 868 nm and 660 nm for two-hour and four-hour gravity

settling, respectively, which were measured by a ZetaSizer Nano (Nano ZS, Malvern

Instruments Ltd., UK).

3.2 Sample preparation

The sample preparation procedure developed by Gupta et al.35 and the ultramicrotome

cutting technique adopted by Yan et al.42 enabled us to expose the two basal planes and the

edge surface of kaolinite, respectively, to investigate the surface charging properties. At

certain pH, the siloxane basal plane of kaolinite (referred to as Si-basal plane) is negatively

charged while the aluminum oxy-hydroxyl basal plane of kaolinite (referred to as Al-basal

plane) is positively charged. By using this property, Gupta et al.35 successfully exposed the

Si-basal plane and Al-basal plane by depositing kaolinite suspension onto a negatively

charged glass substrate and a positively charged alumina substrate, respectively. To expose

the edge surfaces, Yan et al.42 embedded a thin piece of phyllosilicate clay in a resin block

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and cut the cross section using an ultramicrotome. The schematics of the preparation of

kaolinite basal planes and edge surfaces can be seen in Figure 3.2.

Figure 3.2 Schematics of preparing kaolinite (a) Si-basal plane, (b) Al-basal plane, and (c)

edge surfaces.

3.2.1 Kaolinite basal planes

The microscopic glass slides (Fisher Scientific Inc.), the silica wafer (NanoFab, University

of Alberta, CA) and the sapphire wafer (C-plane, (0001), University Wafer Inc.) were cut

into 10-by-10-mm pieces. The glass slides, sapphire wafers and silica wafers were cleaned

with piranha solution, composed of three volumes of sulfuric acid (H2SO4 96%) and one

volume of hydrogen peroxide (H2O2 30%), for 30 min, followed by rinsing with large

amounts of Milli-Q water, sonicating for 15 minutes in Milli-Q water, and blowing dry

with ultra-high purity N2 gas. It was expected that this process would remove the organic

and inorganic contaminations on the substrates.

Two drops of the kaolinite suspension at pH 5 were put on the clean glass and sapphire

substrates, which were placed on a ~70˚C hot plate to dry. The purpose of this technique

was to expose the kaolinite Si-basal plane and Al-basal plane, respectively.

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3.2.2 Kaolinite edge surfaces

The re-dispersed kaolinite suspension was pipetted onto a layer of hardened epoxy resin

(Electron Microscopy Sciences, Hatfield, PA, USA), which was placed on a hot plate at

about 120 ˚C. The kaolinite particles were expected to flatly and evenly spread over the

resin surface in such way. Another layer of the epoxy resin was put on top of the dried

kaolinite particles. The two layers of the epoxy resin and the kaolinite particles in the center

together, formed a resin block with a sandwich structure. The resin block was trimmed by

a trimmer (Leica EM TRIM2, Leica Microsystems Inc.) to create a tetragonal top surface

and four trapezoid side faces as shown in Figure 3.2(c). The tetragonal top surface should

be as small as possible to reduce the friction generated during the ultramicrotome cutting

procedure. The trimmed resin block was then mounted as perpendicular as possible on the

ultramicrotome (Leica EM UC7, Leica Microsystems Inc.) for cutting. After cutting with

a diamond knife on the ultramicrotome, the resin block was rinsed with Milli-Q water and

blown dry with high-pressure ultrapure N2 gas to remove the remained flakes on the surface,

and it was then glued on a clean glass substrate. Before being used in AFM force

measurement, the resin block was put in a UV-ozone for five minutes, rinsed with a large

amount of Milli-Q water, and blown dry with ultra-high purity N2 gas to remove the organic

contaminants.

3.3 Atomic force microscopy

3.3.1 AFM force measurement

An Atomic Force Microscope (Bruker Dimension Icon-PT, Bruker Corporation) was used

to measure the interaction forces between the AFM tip and the kaolinite surfaces. Silica

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nitride tips (DNP-10, Bruker AFM Probes, Bruker Nano Inc.) with a tip radius of about 20

nm were used in the research of kaolinite basal planes. Because the width of the edge

surfaces is between 30 nm and 80 nm, silicon tips (SNL-10, Bruker AFM Probes, Bruker

Nano Inc.) with a smaller tip radius of about 2 nm were used to study kaolinite edge

surfaces. The spring constant of each cantilever was evaluated by the Thermal Tune

Function provided in the NanoScope Software V8.15 (Bruker Corporation). Dimensional

analysis of the probes was carried out on the SEM images of the probes.

The influence of pH on the Stern potentials of kaolinite surfaces was studied at pH 3, 5, 6,

8, and 10 in 10 mM KCl solutions. The effect of divalent cations were studied in 10 mM

KCl solutions with different concentrations of Ca2+ and Mg2+ at pH 8 and 11, respectively.

In 10 mM KCl solution, the thickness of the electrostatic double-layer (𝜅−1) is about 3.03

nm, which is much smaller than the thickness of kaolinite particle (see Figure 3.3), so the

tip-substrate electrostatic double-layer would not overlap with the tip-kaolinite surface

electrostatic double-layer75. When divalent cations were added into the 10 mM KCl

background solutions, the thickness of the electrostatic double-layer would be compressed

even more.

Figure 3.3 Illustration of the electric double layer (shown as grey thin layer) surrounding

the AFM tip, kaolinite and substrate in electrolyte solutions with 𝜅−1 less than the

thickness (d) of the kaolinite particle.

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Force measurements between the AFM tip and the sample surface were performed after

the tip-solution-sample surface system was stabilized for 30 min. The topography image

of the kaolinite surfaces was scanned and captured under contact mode by the Point and

Shoot Function provided in the NanoScope Software V8.15, and then the interaction force

curves were taken 5 times at each chosen location on this image. For each background

solution condition, more than 500 force curves were taken at 3 ~ 4 different places on every

sample to guarantee the reproducibility of the data. The measured force curves were fitted

with theoretical DLVO force curves to derive the Stern potentials of kaolinite surfaces.

The raw force curves were Deflection Error-Z distance data, which were converted to

Force-Separation distance curves by NanoScope Analysis Version 1.8 (Bruker

Corporation). Baseline corrections of the force curves were also conducted before they are

fitted with theoretical DLVO force curves.

3.3.2 AFM tip evaluation

The geometry of the AFM probes was obtained by analyzing the images of the probes (see

Figure 3.4), which were captured by a Scanning Electron Microscope (SEM)/Mineral

Liberation Analyzer (Quanta 250, FEI Company). The pyramid-shape probe was

composed of a spherical apex and a conical tip.

The curvature and the conical angle of the spherical apex of the tip were determined by

fitting it with a circle. The curvatures for Si3N4 tip and Si tip were determined to be about

60 nm and 30 nm, respectively. The conical angle (2β) of the Si3N4 tip and Si tip were

around 40˚ and 35˚, respectively. SEM images were taken to check the status of the probe.

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If they showed that the probe was worn or damaged after the force measurement, the

experimental results obtained by this tip would not be used any further.

Figure 3.4 SEM images of the side view of (a) a cantilever with a DNP-10 AFM tip on top

at low magnification, (b) DNP-10 AFM tip at high magnification, (c) cantilever with a

SNL-10 AFM tip on top at low magnification, and (d) SNL-10 AFM tip at high

magnification.

3.3.3 Atomic resolution imaging by AFM

Atomic resolution imaging was performed using a Dimension ICON-ScanAsyst AFM

(Bruker Dimension Icon-PT, Bruker Corporation). Fastscan-C probes with a tip radius of

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5 nm, a cantilever of 40 µm and a spring constant of 0.8 N/m were used. Kaolinite samples

were rinsed with Milli-Q water and blown dry with ultra-pure N2 gas to remove loosely

attached particles. Kaolinite sample was immersed in background electrolyte solutions for

30 min before performing the AFM imaging. ScanAsyst mode with auto-control was first

used to find a kaolinite particle firmly attached to the substrate. The tip was then withdrawn

from the sample surface. After turning off the auto-control, the peak force engage setpoint

was set as 0.04 V and the tip was engaged in contact with the kaolinite particle surface

again. To improve the quality of images, scanning parameters were carefully adjusted after

zoom-in on a kaolinite particle. To reduce the drift, the scan rate was increased to 2 Hz for

512 (Samples/Line) × 512 (Lines) data format. The obtained images were treated using

NanoScope Analysis Version 1.8 (Bruker Corporation), and the image processing

procedure was provided in Appendix A.

3.4 Theoretical model

Figure 3.5 Schematic illustration of the AFM tip-flat surface system used in the theoretical

calculation. Angles α and β are the geometrical angles for the spherical cap at the tip apex

and the conical tip body, respectively, and α + β = 90°; D refers to the separation between

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the end of the tip apex and the surface of the substrate; L is the distance from the AFM tip

to the substrate; R is the radius of the spherical cap at the tip apex; r is the radius of the tip

at a given vertical position40.

The geometry of the pyramidal-shape tips shown in Figure 3.5 can be reasonably

approximated as a cone with a spherical cap at its apex as illustrated in Figure 3.5. The

interaction force between an AFM tip and a flat sample surface is dominated by van der

Waals force and electrostatic double-layer force, which is described by the classical DLVO

theory39.

The derivation of the DLVO theory that can be applicable to the AFM tip-flat substrate

system was reported in the literature40,49 and only the final equations are listed below:

𝐹𝐷𝐿𝑉𝑂 = 𝐹𝑣𝑑𝑤 + 𝐹𝑒𝑑𝑙 = 𝐹𝑇𝑆𝑆 + 𝐹𝑇𝑆

𝐶 (3.1)

van der Waals force:

𝐹𝑣𝑑𝑤 =𝐴

6[

(𝑅+𝐷)−2𝐿1

𝐿12 −

𝑅−𝐷

𝐷2 ] −𝐴

3 tan2 𝛼(

1.0

𝐿1+

𝑅 sin 𝛼 tan 𝛼−𝐷−𝑅(1−cos 𝛼)

𝐿12 ) (3.2)

where 𝐴 is the combined Hamaker constant76 for the tip-solution-substrate system. Based

on the Lifshitz theory77, the nonretarded Hamaker constant for two macroscopic phases 1

and 2 interacting across a medium 3 is expressed by78:

𝐴 =3

4𝑘𝐵𝑇 (

𝜀1−𝜀3

𝜀1+𝜀3) (

𝜀2−𝜀3

𝜀2+𝜀3) +

3ℎ𝜈𝑒

8√2

(𝑛12−𝑛3

2)(𝑛22−𝑛3

2)

(𝑛12+𝑛3

2)1 2⁄ (𝑛22+𝑛3

2)1 2⁄ (𝑛12+𝑛3

2)1 2⁄ +(𝑛22+𝑛3

2)1 2⁄ (3.3)

where 𝜀1, 𝜀2, and 𝜀3 are the static dielectric constants of the three media; 𝑛1, 𝑛2, and 𝑛3

are the refractive indexes for three media; 𝑘𝐵 is the Boltzmann constant, 1.38×10-23J/K; T

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44

is the absolute temperature in Kelvin; ℎ is the Planck’s constant, 6.626×10−34 J·s; 𝜈𝑒 is the

main electronic absorption frequency in the UV region, which is assumed to be the same

(3.0 × 1015s−1) for all materials in this work.

Table 3.1 Values used to calculate the Hamaker constants.

Materials

Static Dielectric

Constant Refractive Index Hamaker Constant

ε n A

Silica79 3.82 1.448

Water79 78.5 1.333

Silicon nitride79 7.4 1.988

Alumina78 10.1-11.6 1.753

Silicon78 11.6 3.44

Silicon nitride-

water-silica wafer 2.01 × 10−20J

Silicon nitride-

water-silica basal

plane of kaolinite

2.01 × 10−20J

Silicon nitride-

water-alumina basal

plane of kaolinite

6.33 × 10−20J

Silicon-water-silica

wafer 4.33 × 10−20J

Silicon (𝐴11)36 1.36 × 10−19

Kaolinite edge

surface (𝐴22)57 1.20 × 10−19

Water (𝐴33)78 3.70 × 10−20

Silicon-water-edge

surface of kaolinite 2.72 × 10−20J

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45

Due to the lack of the information of the dielectric constant and refractive index of kaolinite

edge surface, the combined Hamaker constant for silicon-water-kaolinite edge surface was

estimated by the following equation78:

𝐴 = (√𝐴11 − √𝐴33) × (√𝐴22 − √𝐴33) (3.4)

where, A11, A22 and A33 refer to the Hamaker constants of individual medium 1, 2 and 3,

respectively. In this case, A11, A22 and A33 are the Hamaker constants of silicon, kaolinite

edge surface and water, respectively.

All the values needed by the calculation of the Hamaker constants are listed in the above

Table 3.1.

Electrostatic double-layer force:

For the case of constant surface potential boundary condition (BC):

𝐹𝑒𝑑𝑙 = 4𝜋𝜀0𝜀𝜓𝑇𝜓𝑆(𝑎0𝑒−𝜅𝐷 − 𝑎1𝑒−𝜅𝐿1) − 2𝜋𝜀0𝜀(𝜓𝑇2 + 𝜓𝑆

2)(𝑎2𝑒−2𝜅𝐷 − 𝑎3𝑒−2𝜅𝐿1) +

4𝜋𝜀0𝜀𝜅

𝑡𝑎𝑛 𝛼∙ 𝑏1𝜓𝑇𝜓𝑆𝑒−𝜅𝐿1 − 𝑏2

(𝜓𝑇2 +𝜓𝑆

2)

2𝑒−2𝜅𝐿1 (3.5)

For the case of constant surface charge density BC:

𝐹𝑒𝑑𝑙 =4𝜋

𝜀0𝜀𝜅2𝜎𝑇𝜎𝑆(𝑎0𝑒−𝜅𝐷 − 𝑎1𝑒−𝜅𝐿1) +

2𝜋

𝜀0𝜀𝜅2(𝜎𝑇

2 + 𝜎𝑆2)(𝑎2𝑒−2𝜅𝐷 − 𝑎3𝑒−2𝜅𝐿1) +

4𝜋

𝜀0𝜀𝜅 tan 𝛼∙ 𝑏1σ𝑇σ𝑆𝑒−𝜅𝐿1 + 𝑏2

(σ𝑇2 +σ𝑆

2)

2𝑒−2𝜅𝐿1 (3.6)

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46

Theoretically, the electrostatic double-layer force was derived under either the constant

surface potential or the constant surface charge density BC. However, in reality, especially

at a short distance, the electrical double-layer force would lie between the two conditions28.

For the case that one surface is under constant surface potential condition and the other is

under constant surface charge density condition, the mixed BC should be adopted to fit the

measured force curves, and the equations49 for this case are given as follows:

𝑊𝑒𝑑𝑙𝑆 = 𝜋𝑅 [2𝜓𝑠𝜎𝑇 ∫ sech(𝜅𝐿)𝑑𝐿 + (

𝜎𝑇2

𝜀𝜀0𝜅− 𝜀𝜀0𝜅𝜓𝑠

2) × ∫ (tanh(𝜅𝐿) − 1)𝑑𝐿𝐿1

𝐷

𝐿1

𝐷] (3.7)

𝑊𝑒𝑑𝑙𝐶 =

𝜋𝑏3

tan 𝛼[2𝜓𝑠𝜎𝑇 ∫ sech(𝜅𝐿)𝑑𝐿 + (

𝜎𝑇2

𝜀𝜀0𝜅− 𝜀𝜀0𝜅𝜓𝑠

2) ∫ (tanh(𝜅𝐿) − 1)𝑑𝐿∞

𝐿1

𝐿1] +

𝜋

tan 𝛼[2𝜓𝑠𝜎𝑇 ∫ sech(𝜅𝐿)𝐿𝑑𝐿 + (

𝜎𝑇2

𝜀𝜀0𝜅− 𝜀𝜀0𝜅𝜓𝑠

2) ∫ (tanh(𝜅𝐿) − 1)𝐿𝑑𝐿∞

𝐿1

𝐿1] (3.8)

𝑊𝑒𝑑𝑙𝜓−𝜎

= 𝑊𝑒𝑑𝑙𝑆 + 𝑊𝑒𝑑𝑙

𝐶 (3.9)

𝐹𝑒𝑑𝑙𝜓−𝜎

= − (𝜕𝑊𝑒𝑑𝑙

𝜓−𝜎

𝜕𝐷) (3.10)

where,

𝐿1 = 𝐷 + 𝑅(1 − cos 𝛼) , 𝑎0 = 𝜅𝑅 − 1 , 𝑎1 = 𝜅𝑅 cos 𝛼 − 1 , 𝑎2 = 𝑎0 + 0.5 , and 𝑎3 =

𝑎1 + 0.5

𝑏1 = [𝑅 sin 𝛼 −𝐷+𝑅(1−cos 𝛼)

tan 𝛼] +

1

tan 𝛼∙ [(𝐿1 +

1

𝜅)]

𝑏2 = [𝑅 sin 𝛼 −𝐷+𝑅(1−cos 𝛼)

tan 𝛼] +

1

tan 𝛼∙ [(𝐿1 +

1

2𝜅)]

𝑏3 = 𝑅 sin 𝛼 tan 𝛼 − 𝐿1

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47

Here, superscripts S and C refer to the spherical cap of the tip apex and the conical tip body,

respectively; subscripts S and T refer to the substrate and the AFM tip, respectively; 𝜀 and

𝜀0 are dielectric constant of the medium and the permittivity of vacuum, respectively; e is

the electronic charge, 1.602 × 10−19C; 𝜓 is the surface potential; 𝜎 is the surface charge

density; 𝜅 is the reciprocal of the Debye length80, which is a characteristic parameter

describing the thickness of EDL or decay of the electric potential:

𝜅−1 = (𝜀𝜀0𝑘𝐵𝑇

∑ 𝑛𝑖0𝑒2𝑧𝑖2

𝑖)

1/2

(3.11)

where 𝑛𝑖0 is bulk concentration of electrolyte i, ions/m3; 𝑧𝑖 is the valence of ion i.

The surface potential and the surface charge density are linked to each other by the

Grahame equation81:

σ = √8𝑐0𝜀𝜀0𝑘𝐵𝑇sinh (𝑒𝜓

2𝑘𝐵𝑇) (3.12)

where 𝑐0 is the bulk concentration of the salt; 𝑘𝐵 is the Boltzmann constant, 1.38×10-23J/K;

and T is the absolute temperature.

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48

Chapter 4 Determination of Stern Potentials of Kaolinite

Surfaces: Effect of Divalent Cations and Solution pH

4.1 Introduction

In the processing of valuable resources, such as flotation or tailings treatment, divalent

cations should be removed to promote flotation efficiency or added to reclaim more process

water since they can alter the surface potentials of clay minerals. The concentration of

divalent cations is essential in their applications in industry. In real systems, a much lower

dosage of divalent cations than the critical coagulation concentration is enough to achieve

effective coagulation, as the specific adsorption nature of the corresponding monohydroxyl

ions would lead to charge reversal of clay particles. However, the impact of divalent cations

on the Stern potentials of kaolinite still lacks investigation. Therefore, in this work, we

focused on the anisotropic surface properties of kaolinite particles and took a deeper look

at the potential determining abilities of different divalent cations by AFM force

measurements. The interaction forces between the AFM tip and distinct kaolinite basal

planes in 10 mM KCl solutions containing Ca2+ and Mg2+ were fitted using DLVO theory

to derive the Stern potentials of different kaolinite surfaces. In addition, we explored the

mechanisms of divalent cations adsorbing on different kaolinite surfaces based on the

experimental results, aiming to provide clear insights into the colloidal behavior of

kaolinite that governs its vast applications in lab research and industry.

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49

4.2 Results and discussion

4.2.1 AFM tip calibration

To obtain the Stern potential of selected kaolinite surface through the measured interaction

force between kaolinite surface and AFM tip, we first examined the Stern potential carried

by the AFM tip. Since the Stern potentials of silica wafer in 10 mM KCl solutions at

different pH environments were well studied and showed good consistency82–84, silica

wafer was thus used to obtain the Stern potential of the AFM tip. Stern potentials of silica

wafer in 10 mM KCl solutions with divalent cations have not been investigated. Therefore,

the zeta potentials of the silica wafer (see Figure 4.1) measured by SurPASS Electrokinetic

Analyzer (Anton Paar USA Inc.) using streaming potential method were adopted to

calibrate the AFM tips.

0 1 2 3 4 5

-80

-60

-40

-20

0

20

40

Ze

ta P

ote

ntia

l (m

V)

Concentrations of Divalent Cation (mM)

Ca2+

at pH 8

Mg2+

at pH 8

Ca2+

at pH 11

Mg2+

at pH 11

Figure 4.1 Zeta Potential of silica wafer in 10 mM KCl solutions at pH 8 and 11 with

varying concentrations of divalent cations (Ca2+ and Mg2+, respectively) determined using

the streaming potential method.

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50

It can be seen in Figure 4.1 that the zeta potential of silica wafer is -52 mV in 10 mM KCl

solution at pH 8, which is slightly lower in magnitude than the Stern potential of silica

wafer (-59 mV) under this condition. This is because the Stern potential was measured at

a closer distance to the solid surface than the zeta potential. The zeta potential of the silica

wafer was determined to be -43 mV when 0.1 mM Ca2+ was added into the solution, and it

reached to -33 mV and -31 mV at 0.5 mM and 1 mM additions of Ca2+, respectively. The

zeta potential of silica wafer changed considerably to -20 mV when the concentration of

Ca2+ was increased to 5 mV. The zeta potentials of silica wafer in KCl solutions with the

addition of Mg2+ were found to be very close to those with the addition of Ca2+.

Yan et al.85 reported that the difference between the Stern potential and the zeta potential

became smaller when the electrostatic double-layer was further compressed by adding

higher concentrations of divalent cations. When 0.1, 0.5, 1 and 5 mM divalent cations were

added into the 10 mM KCl solution, the Debye length of a solid surface was compressed

from 3.03 nm to 2.99, 2.83, 2.66, and 1.92 nm, respectively. When the electrostatic double-

layer was further compressed by adding higher concentrations of divalent cations, the

difference between the Stern potential and the zeta potential became smaller. Therefore, it

is feasible to use the zeta potentials of silica wafer to evaluate the Stern potentials of the

AFM tips when divalent cations are added to the KCl solution.

Their conclusion was also confirmed by comparing the measured zeta potentials (using

ZetaSizer Nano) of Si3N4 nano particles with the Stern potentials of AFM Si3N4 tip

calibrated by AFM force measurement using silica wafer (see Figure 4.2).

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0 1 2 3 4 5

-100

-80

-60

-40

-20

0

20

40

Ele

ctr

ica

l P

ote

ntia

l (m

V)

Concentration of Ca2+

(mM)

Zeta Potential at pH 8

Zeta Potential at pH 11

Stern Potential at pH 8

Stern Potential at pH 11

(a)

0 1 2 3 4 5

-100

-80

-60

-40

-20

0

20

40

(b)

Ele

ctr

ica

l P

ote

ntia

l (m

V)

Concentration of Mg2+

(mM)

Zeta Potential at pH 8

Zeta Potential at pH 11

Stern Potential at pH 8

Stern Potential at pH 11

Figure 4.2 Comparison of the zeta potential of Si3N4 nano particles with the Stern potential

of AFM Si3N4 tip in 10 mM KCl solutions at pH 8 and 11 containing different

concentrations of (a) Ca2+ and (b) Mg2+.

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52

In this research, pH 3 was used instead of pH 4 to avoid the PZC of silica nitride tip, which

was reported86 to be near pH 4. The measured force curves of the interaction between the

AFM tips and the silica wafer (see Figure 4.3 and Figure 4.4 for silicon nitride tip and

silicon tip, respectively) were fitted with the theoretical force curves calculated based on

the classical DLVO theory, which were computed using MATLAB (The MathWorks Inc.),

to derive the Stern potentials of the AFM tips. The experimental data fitted well with the

theoretical data at the separation distance > 3 nm, but they deviated at a very short

separation. This phenomenon was also observed in the investigation of the charging

characteristics of different kaolinite surfaces, and it is probably a consequence of the

surface roughness and the repulsive, short-distance and non-DLVO hydration force

between the AFM tip and the substrate/sample surface, which was not taken into

consideration in this study. More details about the error analysis can be found in Appendix

B. Therefore, the experimental force curves were always higher than the corresponding

DLVO force curves when the separation was less than 3 nm. Also, the “jump-to-contact”

point can be observed at the separation distance < 2 nm.

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53

Figure 4.3 Interaction forces between the AFM Si3N4 tip and the silica wafer in 10 mM

KCl solutions (a) at different pH, (b) at pH 8 containing different concentrations of Ca2+,

(c) at pH 8 containing different concentrations of Mg2+, (d) at pH 11 containing different

concentrations of Ca2+, and (e) at pH 11 containing different concentrations of Mg2+; and

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54

(f) Comparison of the Stern potentials of the AFM Si3N4 tip obtained in this this study with

those reported in literature.

In a liquid medium, the charging of a surface mainly occurs in three different ways63,80:

(1) by surface ionization or dissociation (which is the dominant charging mechanism for

oxides, e.g. SiO2, TiO2, Al2O3);

(2) by adsorption or binding of ions from solution (such as ion exchange);

(3) by crystal lattice defects (e.g. isomorphic substitution for clay minerals).

When two surfaces approach each other, if the surface charge comes from irreversible ion

adsorption, dissociation of strong surface groups, or lattice defects, the surface charge

density, which is independent of the surface potential and finally of the separation distance,

remains constant during the approach; if the surface charging mechanism is dominated by

reversible ion adsorption, the surface potential can be assumed constant because the

adsorption-desorption equilibrium responds immediately to every configuration of the

interacting surfaces87. However, constant charge or constant potential are ideal and extreme

cases, and the interaction force between two interacting surfaces in reality would lie in

between.

The charging mechanism for clean silica wafer (which carries many hydroxyl groups in

aqueous solutions) in a solution is chemical adsorption of ions88 and the surface takes up

or releases a proton according to the solution pH:

𝑆𝑖𝑂𝐻2+ 𝑆𝑖𝑂𝐻 + 𝐻+ (takes place at extremely low pH < 3)

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55

𝑆𝑖𝑂𝐻 𝑆𝑖𝑂− + 𝐻+

and

𝑆𝑖𝑂− + 𝑀+ 𝑆𝑖𝑂𝑀 (can be adapted for multivalent cations being added into the solution)

Therefore, the silica wafer in inert electrolyte solutions (KCl solution in this case) is

considered to be a constant potential surface. Because silicon nitride is prone to oxidize34

towards SiO2 and the change of its surface charge according to solution pH is due to the

oxidization at its surface81, it is reasonable to assume the surface potential of AFM Si3N4

tip is constant. Consequently, in Figure 4.3, DLVO force curves calculated by constant

surface potential equation were used to fit the experimental data. The determined Stern

potentials of Si3N4 tip are reported in Figure 4.3 (f), showing good agreement with

literature values49,85,86,89.

When Ca2+ and Mg2+ are added into the 10 mM KCl solution, the adsorption mechanisms

of metal cations on oxide/clay surface in aqueous solutions mainly consist of: electrostatic

attraction and surface complexation or specific adsorption at the solid-solution interface.

The adsorption of metal ions at the solid-solution interface is highly pH-dependent. In pH

8 KCl solutions, there is no formation of Ca(OH)+ and very few Mg(OH)+, so there is

almost no specific adsorption of metal cations on the solid surface63,90. However, the

amphoteric SOH surface groups (where S refers to surface Si or Al atoms) on oxide or clay

surfaces can form outer-sphere surface complexes with metal cations91, which can be

expressed with the following equation: ≡ SOH + M(H2O)62+

↔ SO(H2O)M(H2O)5+

+

H+, (where M represents Ca or Mg). The strong surface complexes had a significant effect

on the Stern potential of oxide/clay surface, which also impacted the selection of the

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56

equation used in the fitting process. A clean silica wafer, which has many hydroxyl groups

on its surface, is greatly affected by metal cations. As a consequence, the interaction force

curves between the silica wafer and the AFM tip were better fitted with the mixed BC

equation rather than the constant surface potential equation when divalent cations were

added into the KCl solution.

At pH 11, there were more and more Ca(OH)+ and Mg(OH)+ as higher concentration of

Ca2+ and Mg2+ were added to the KCl solutions. According to the speciation diagram (see

Figure C1 in Appendix C), Ca(OH)+ starts to be present at about pH 10.3 and keeps

increasing as solution pH increases to 11, however, the first-order metal hydroxyl species

of magnesium starts to exist at near pH 6 and reaches its peak at pH 10, and then starts to

form metal hydroxide precipitates90. The magnesium hydroxide precipitates at pH 11

would disturb the laser deflection signal, hindering the force measurements when 5 mM

Mg2+ was added into the background electrolyte at pH 11. As more and more irreversible

specific adsorption of first-order metal hydroxyl species occurred on the silica wafer, the

data became better described by the constant surface charge density equation instead of the

mixed BC equation.

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57

Figure 4.4 (a) Representative AFM image of a silica wafer surface; and typical interaction

forces (solid lines represent theoretical DLVO forces, open symbols represent

experimental data) between the AFM Si tip and the silica wafer in 10 mM KCl solutions

(b) at different pH, (c) at pH 8 containing different concentrations of Ca2+, (d) at pH 8

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58

containing different concentrations of Mg2+, (e) at pH 11 containing different

concentrations of Ca2+, and (f) at pH 11 containing different concentrations of Mg2+.

Figure 4.4 (a) shows a representative image of a silica wafer surface used for colloidal

force measurements, and the root-mean square roughness (Rq) of the silica wafer was 0.22

nm over a 25.0 μm2 area. The results in Figure 4.4 (b) showed that the AFM Si tip was

positively charged at pH 3, and negatively charged at pH 5-10, which means that the PZC

of silicon tip was about pH 3 in 10 mM KCl solutions. This conclusion is consistent with

reported PZC of silicon powder, which was pH 2.892 in 10 mM KNO3 solutions.

For 10 mM KCl solutions, experimental force curves were found to be better fitted by the

mixed BC equation than the constant surface potential equation. The derived Stern

potentials of silicon tip were also different from those of silica wafer. These two findings

indicated that silicon did not carry a constant surface potential like silica, which is probably

because silicon was not fully oxidized to SiO2 or due to the semiconductor nature of silicon.

Under the effect of Ca2+ and Mg2+, the equation adopted in the fitting process gradually

changed from mixed BC equation to constant surface charge density equation. The change

of fitting equation is based on the corresponding charging mechanisms of the tip and the

silica wafer. At pH 8, Ca2+ and Mg2+ would form surface complex with the Si-OH groups

on tip and silica wafer surfaces. However, at pH 11, the first-order metal hydroxyl species

of calcium and magnesium ions specifically adsorbed on the Si-OH groups. When the

concentration of calcium and magnesium ions were increased to be higher than 0.1 mM,

more specific adsorption happened, and caused both tip and silica wafer surfaces to carry

constant surface charges.

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59

4.2.2 Characterization of kaolinite samples

4.2.2.1 Samples of kaolinite basal planes

Figure 4.5 SEM images of kaolinite particles deposited on (a) glass substrate and (b)

sapphire substrate after drying on a hot plate; AFM images of kaolinite particles deposited

on (c) glass substrate and (d) sapphire substrate, after the substrate was rinsed with Milli-

Q water and blown dry.

To obtain accurate and reproducible AFM force curves, it is vital to know that the

measurements are performed on the right basal surface of kaolinite particle, and that the

surfaces are smooth enough (surface roughness less than 1 nm). SEM images of the

substrates with deposited kaolinite particles show that the kaolinite basal planes are very

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60

flat (see images (a) and (b) in Figure 4.5), so they can orderly stack layer by layer, with a

negatively charged kaolinite Si-basal plane of one kaolinite particle attached to the

positively charged kaolinite Al-basal plane of another kaolinite particle. Finally, the

positively charged Al-basal plane of the last layer of kaolinite particles will attach to the

negatively charged glass substrate, so that the top layer surfaces would be the Si-basal

planes of kaolinite particles, vice versa, when kaolinite particles are deposited on a

positively charged sapphire substrate, the Al-basal planes of kaolinite particles are exposed

at the top layer. It can be seen from the images that the exposed kaolinite basal planes are

flat enough for AFM force measurement, which are confirmed by the AFM images shown

in Figures 4.5 (c) and 4.5 (d). The root-mean-square roughness (Rq) of selected locations

on both imaged kaolinite particles deposited on glass substrate and sapphire substrate was

determined by AFM to be lower than 1 nm.

Because super-fine particles are loosely attached to the substrate, they need to be rinsed off

by large amounts of Milli-Q water before the AFM force measurements. It can be seen

from Figures 4.5 (c) and 4.5 (d) that most of the particles that can stay on the substrate after

rinsing, and especially after scanning by AFM tip, are 1-2 µm in size because they have a

larger contact area with the substrate, which can provide more electrostatic attraction

between the kaolinite particles and the substrate. Micron size particles are also better than

nano size particles for AFM force measurement, because the interaction force between the

AFM tip and the kaolinite surfaces would be less affected by the substrate.

To make sure the opposite basal surfaces of kaolinite were exposed on glass substrate and

sapphire substrate, respectively, interaction forces were measured between the AFM tip

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and the particles sitting on the two substrates in 10 mM KCl solution of pH 5, as shown in

Figure 4.6.

0 10 20 30

-0.2

0.0

0.2

0.4

0.6

0.8

1.0

AFM tip

vs

Silica wafer

(Electrolyte: 10 mM KCl, pH 5)

Forc

e (

nN

)

Separation (nm)

(a)

0 5 10 15 20 25 30

-0.2

0.0

0.2

0.4

0.6

0.8

1.0

AFM tip

vs

Particles placed on a glass substrate

(Electrolyte: 10 mM KCl, pH 5)

(b)

Forc

e (

nN

)

Separation (nm) 0 5 10 15 20 25 30

0.0

0.5

1.0

AFM tip

vs

Particles placed on a sapphire substrate

(Electrolyte: 10 mM KCl, pH 5)

(c)

Forc

e (

nN

)

Separation (nm)

Figure 4.6 Interaction forces between an AFM tip and silica wafer (a), kaolinite particles

sitting on a glass substrate (b), and particles sitting on a sapphire substrate (c) in 10 mM

KCl solutions of pH 5 (open symbols represent experimental data, and solid lines represent

theoretical DLVO forces).

Using a SurPASS Electrokinetic Analyzer (Anton Paar USA Inc.), zeta potential of silica

wafer in 10 mM KCl solution of pH 5 was determined to be -32 mV. The repulsive

interaction forces between silica wafer and the AFM tip shown in Figure 4.6 (a) mean that

the AFM tip is negatively charged. As repulsive forces were obtained between the

negatively charged tip and the kaolinite particles attaching to the glass substrate, the

negatively charged Si-basal plane surfaces were obtained. In contrast, the attractive forces

shown in Figure 4.6 (c) indicate a positively charged Al-basal plane on the other side of

kaolinite particles was exposed on the sapphire substrate as anticipated.

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4.2.2.2 Sample of kaolinite edge surfaces

Figure 4.7 SEM images of (a) kaolinite particles deposited on the resin surface, and (b)

kaolinite edge surfaces prepared by ultramicrotome cutting technique; and (c) AFM image

of kaolinite edge surfaces.

The SEM imaging of kaolinite particles deposited on the resin surface (see Figure 4.7 (a))

shows that most of the particles lie flatly and orderly on the resin surface with kaolinite

basal planes facing up. Therefore, mainly the kaolinite edge surfaces will be exposed after

the resin block sandwiched with kaolinite particles in the middle being cut by

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ultramicrotome. The aspect ratio of the kaolinite surfaces seen in Figure 4.7 (b) is much

higher than the aspect ratio of kaolinite surfaces seen in Figure 4.7 (a), which proves that

the edge surfaces of kaolinite particles have been successfully prepared.

Surface roughness is a vital parameter for acquiring accurate and reproducible data from

AFM force measurements. After being cut by ultramicrotome, the surface of the resin block

sandwiched with kaolinite particles in the middle was imaged by AFM and shown in Figure

4.7 (c). The Rq of the resin surface after cutting is less than 1 nm. The whole image Rq of

Figure 4.7 (c) is 18.3 nm over 25 μm2, and the Rq values of local parts vary between 1 to

2 nm, which means the edge surface is smooth enough for nanoscale study on the charging

properties of kaolinite edge surfaces.

4.2.3 Effect of divalent cations on Stern potential of kaolinite Si-basal

planes

AFM images were taken before and after the force measurements to make sure the kaolinite

particles were still attached to the substrate. If the particles were no longer attached onto

the substrate after the force measurements, the force curves taken on those particles would

not be used in the following fitting process.

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Figure 4.8 Interaction forces between the AFM Si3N4 tip and the kaolinite Si-basal plane

in 10 mM KCl solutions (a) at different pH, (b) at pH 8 containing different concentrations

of Ca2+, (c) at pH 8 containing different concentrations of Mg2+, (d) at pH 11 containing

different concentrations of Ca2+, and (e) at pH 11 containing different concentrations of

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Mg2+; and (f) Summary of the Stern potential of kaolinite Si-basal plane at pH 8 and 11 in

10 mM KCl solutions containing different concentrations of Ca2+ and Mg2+.

Typical approaching force curves between AFM tip and kaolinite Si-basal plane in 10 mM

KCl solution under various pH environments are shown in Figure 4.8 (a). The siloxane

surface of kaolinite carries constant surface charge20 because: 1) the surface charge of the

siloxane surface mainly arises from isomorphic substitution, which leads to a permanent-

negative charge; and 2) the hydrolysis of siloxane bonds is slow unless at extremely high

pH. Therefore, a mix BC equation was applied to fit the experimental forces between the

AFM Si3N4 tip with a constant surface potential and the kaolinite siloxane basal plane with

a constant surface charge. For kaolinite Si-basal plane, repulsive interactions were found

from pH 5 to pH 10, and the attractive interaction force occurred at pH 3 was attributed to

the positively charged AFM Si3N4 tip under this condition. Therefore, kaolinite Si-basal

plane carried negative charges from pH 3 to pH 10 in 10 mM KCl solutions. Moreover,

because the Stern potentials of Si-basal plane changed dramatically at pH 3, the PZC of the

siloxane surface of kaolinite was determined to be below, and near pH 3. According to the

results in this study, the Stern potential of kaolinite siloxane surface almost did not change

except at pH 3, which proves that the Si-basal plane of kaolinite carries a permanent surface

charge that is negative and pH-insensitive20.

At pH 8, 10 mM KCl solutions with various concentrations of divalent cations (0, 0.1, 0.5,

1, and 5 mM) were used as the background electrolytes. The interaction forces between

AFM tip and kaolinite Si-basal plane were measured and shown in Figures 4.8 (b) and (c).

The long-range repulsion was found in all conditions but was depressed with the increasing

addition of divalent cations. When the concentration of Ca2+ or Mg2+ was increased to 5

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mM, the interaction force was almost negligible, yet still repulsive. According to the Stern

potentials, kaolinite Si-basal plane was found to be relatively less affected by the divalent

cations compared to the silica wafer because the siloxane groups on this basal plane are

hard to be hydrolyzed into ≡ SiOH, thus they are harder to form surface complexes with

metal cations. Hence, the decrease of the Stern potentials of kaolinite Si-basal plane with

the increase of divalent cation concentrations is attributed to the increasing electrostatic

interaction between the negatively charged basal plane and the divalent cations. When the

concentration of metal cations was increased to 5 mM, the local concentration of metal

cations on the surface became as high as [M2+]0 ≈ 5 × 10−3𝑒+200∕25.7 ≈ 12M80. At such

high surface concentration, divalent ions can chemically bind to negative surface sites80,

therefore considerably lowering the Stern potential of kaolinite Si-basal plane. Comparing

Figures 4.8 (b) and (c), Ca2+ and Mg2+ have similar magnitude of effect on kaolinite Si-

basal plane.

At pH 11, when specific adsorption of Ca(OH)+ and Mg(OH)+ on kaolinite Si-basal plane

becomes more and more significant as the increase of initial divalent cation concentration,

the experimental force curves should be fitted by the theoretical DLVO force curves

calculated under constant charge density. Charge reversal was found at 1 mM Mg2+

addition, but not with any concentrations of Ca2+, indicating a stronger impact of Mg2+ than

Ca2+ at pH 11. This phenomenon was also observed by Gan et al.90 on their investigation

of the impact of divalent cations on the zeta potential of quartz. In the sulfonate flotation,

at pH 11, the flotation recovery of sulfonate in the presence of 0.1 mM magnesium ions

could reach 100%, while the flotation recovery was only about 20% with the same

concentration of calcium ions31.

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According to the speciation diagram for 1 mM Ca2+ and Mg2+ (see Figure C1 in Appendix

C), the concentration of Ca(OH)+ and Mg(OH)+ are both about 10-5 mol/L at pH 11.

However, the hydroxide precipitate amounts of Ca and Mg vary a lot, which are 10-8 mol/L

and 10-5 mol/L, respectively. Therefore, the difference between the impact of Ca2+ and

Mg2+ at pH 11 is probably caused by the magnesium hydroxide precipitate on kaolinite Si-

basal plane. For the Stern potential of kaolinite basal plane to reverse sign by Mg2+ addition,

the suggested mechanism involves nucleation and growth of magnesium hydroxide

precipitate at the basal surfaces. Following the formation of the precipitate, the basal

surfaces of kaolinite are postulated to have the electrokinetic features of magnesium

hydroxide93, and this would result in more charge in the Stern layer94.

Mg(OH)2 was found to strongly adsorb on the quartz surfaces by Gan et al.90, because their

XPS results of Mg adsorbed on the glass slide at pH 10.9 before and after rinsing showed

that the surface atomic concentration of Mg still remained high after rinsing.

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4.2.4 Effect of divalent cations on Stern potential of kaolinite Al-basal

planes

Figure 4.9 Interaction forces between the AFM Si3N4 tip and the Al-basal plane of kaolinite

in 10 mM KCl solutions (a) at different pH, (b) at pH 8 containing different concentrations

of Ca2+, (c) at pH 8 containing different concentrations of Mg2+, (d) at pH 11 containing

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different concentrations of Ca2+, and (e) at pH 11 containing different concentrations of

Mg2+; and (f) Summary of the Stern potential of kaolinite Al-basal plane at pH 8 and 11 in

10 mM KCl solutions containing different concentrations of Ca2+ and Mg2+.

Interaction force curves between the AFM tip and the aluminum oxy-hydroxyl surface of

kaolinite (Al-O-OH) in 10 mM KCl solution under various pH environments are shown in

Figure 4.9 (a). The protonation and deprotonation of the exposed Al-OH surface groups

are responsible for the formation of a net surface charge. However, constant surface

potential equation could hardly be used to fit the experimental force curves. A better fitting

result was obtained using the mixed BC equation, which may be caused by: 1) isomorphic

substitution of Al3+ by Mg2+ in the octahedron sheet; 2) the pulling effect of surface groups

from the T sheet. Repulsive interaction force found at pH 3 indicates that Al-basal plane of

kaolinite is positively charged under this condition. Attraction force curves occurred at pH

5 and 6 meaning that this surface still carries positive charge. However, when the solution

pH was increased to 8 and 10, the kaolinite Al-basal plane became negatively charged

because repulsive force curves were obtained between the negatively charged AFM tip and

the particle surface. Hence, the PZC of kaolinite Al-basal plane was found to be between

pH 6 and 8, which agrees well with the result reported by Gupta et al35. These findings also

proved that the Al-basal plane is slightly pH-sensitive because its Stern potential changed

only slightly, except when the solution pH was close to its PZC.

Significant impact of divalent cations on the amphoteric Al-OH surface groups was

observed due to the formation of surface complexes (AlO(H2O)Ca(H2O)5+ and

AlO(H2O)Mg(H2O)5+) and electrostatic attraction. The mixed BC equation was adopted in

the fitting process. Figure 4.9 (b) reveals the influence of Ca2+ on the charging

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characteristics of kaolinite Al-basal plane. When the concentration of Ca2+ was increased

from 0 to 0.1 mM, and to 0.5 mM, the interaction forces were repulsive, but when the

addition of Ca2+ was further increased to 1 mM, the interaction forces became net attractive,

which demonstrates that the Stern potential of kaolinite Al-basal plane was reversed from

negative to positive at the addition of 1 mM Ca2+ in 10 mM KCl solutions at pH 8. The

interaction force reduced to almost zero when the addition of Ca2+ was increased to 5 mM

due to large extent of the electrical double-layer compression. However, the interaction

forces between the AFM tip and the kaolinite Al-basal plane were found to be

monotonically repulsive with the addition of Mg2+ varying from 0.1 to 5 mM at pH 8. The

addition of 1mM Ca2+ resulted in charge reversal of the Al-basal plane while 1 mM Mg2+

did not. This implies that Ca2+ has a stronger effect than Mg2+ on the Stern potential of

kaolinite Al-basal plane at pH 8. According to the quantitative model for the adsorption of

hydrolysable metal ions on oxide-liquid interface proposed by James and Healy69, the free

energy change of adsorption is the sum of the change in coulombic energy, the change in

secondary solvation energy and the change in a specific ‘chemical’ interaction, that is:

∆𝐺0𝑎𝑑𝑠𝑖

= ∆𝐺0𝑐𝑜𝑢𝑙𝑖

+ ∆𝐺0𝑠𝑜𝑙𝑣𝑖

+ ∆𝐺0𝑐ℎ𝑒𝑚𝑖

. At pH 8, ∆𝐺0𝑐ℎ𝑒𝑚𝑖

is negligible because

there is almost no specific adsorption reaction for both cations. Generally, for two metal

ion species of the same charge, the larger the ionic dimension, the more negative the sum

of the coulombic and solvation energy change, which means larger ion is more favorable

to the adsorption process. Moreover, Yan et al.85 reported that the less hydrated Ca2+ could

be more proximal to the oxide surface than Mg2+ due to its lower hydration enthalpy. As a

result, compared to Mg2+, Ca2+, which has a larger ionic dimension and is less hydrated,

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gets closer to the clay surface, thus generating a stronger impact on the Stern potential of

kaolinite Al-basal plane.

Comparing (b) and (d), (c) and (e) in Figure 4.9, the effect of the first-order metal hydroxyl

groups on the Al-basal surface is clearly seen when the solution pH was increased from 8

to 11. The surface charge reversal point for Ca2+ addition are the same (1mM addition) at

pH 8 and 11, but because the concentration of Ca(OH)+ increases significantly with

solution pH, the main binding mechanism with Al-OH changes from surface complexion

of Ca(H2O)62+ to specific adsorption of Ca(OH)+. Therefore, the equation needed to fit the

experimental forces changes from mixed BC equation at pH 8 to constant surface charge

density equation at pH 11. Charge reversal occurred at 0.5 mM Mg2+ addition at pH 11

implies that Mg(OH)+ becomes dominant, which leads to the formation of a strong covalent

bond (AlOMg+) with the surface Al-OH groups. Magnesium ions were also found to have

bigger impact than calcium ions on the Stern potential of kaolinite Al-basal plane at pH 11,

probably due to the formation of magnesium hydroxide precipitate on the surface.

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4.2.5 Effect of divalent cations on Stern potential of kaolinite edge

surfaces

Figure 4.10 Typical interaction forces between the AFM Si tip and kaolinite edge surface

in10 mM KCl solutions (a) at different pH, (b) at pH 8 containing different concentrations

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of Ca2+, (c) at pH 8 containing different concentrations of Mg2+, (d) at pH 11 containing

different concentrations of Ca2+, and (e) at pH 11 containing different concentrations of

Mg2+; and (f) summary of the Stern potentials of kaolinite edge surfaces.

Interaction force curves between AFM Si tip and the edge surfaces of kaolinite shown in

Figure 4.10 (a) manifest that the edge surface of kaolinite was positively charged at pH 3,

and negatively charged from pH 6 to 10 in 10 mM KCl solutions. The PZC of the kaolinite

edge surface was found to be around pH 5 because positive, zero, and negative surface

potentials were all obtained during the fitting process. Because the surface groups of

kaolinite edge surface are broken Si-O and Al-O bonds, which are easily hydrolyzed into

Si-OH and Al-OH in KCl solutions. Si-OH and Al-OH would be protonated or

deprotonated according to solution pH, so kaolinite edge surface carries a constant surface

potential. Therefore, mixed BC equation was used to fit the experimental force curves in

10 mM KCl solutions.

In this research, the impacts of Ca2+ and Mg2+ on the surface potential of kaolinite edge

surface were explored for the first time. Interaction force curves between the edge surfaces

of kaolinite and the AFM Si tip in 10 mM KCl solutions with varying concentration of

divalent ions are shown in Figure 4.10 (b)-(e). The interaction force curves were repulsive

at the additions of 0 and 0.1 mM Ca2+, which became attractive when the concentration of

Ca2+ was increased to 0.5, 1 mM and 5 mM at pH 8. The interaction forces were still

repulsive at 0.5 mM Mg2+ addition, albeit very weak. This means the impact of Mg2+ is

smaller compared to Ca2+, which matches well with what we found for kaolinite basal

planes. At pH 11, when the concentration of divalent ions was increased to 0.5 mM, the

fitting equation was changed from mixed boundary equation to constant surface charge

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density equation because more specific adsorption happened. Ca2+ can reverse the surface

charge sign at 0.5 mM addition, pH 11, due to specific adsorption. Again, the Stern

potential of about 20 mM was obtained with 1 mM Mg2+ addition at pH 11, which is caused

by magnesium hydroxide precipitation.

What needs to be mentioned is that typical force curves between AFM Si tip and kaolinite

edge surfaces are quite different from the force curves between AFM Si tip and resin

surface/cavity, which are extremely weak and very bumpy, respectively.

4.3 Summary

Following the successful preparation of micron-sized and smooth kaolinite basal planes,

the Stern potentials of different surfaces were studied in 10 mM KCl solutions in the

absence and presence of divalent cations (Ca2+ and Mg2+, respectively) at different pH. The

Stern potentials were derived by fitting the calculated DLVO force curves with the

measured interaction force curves between the AFM tip and the basal planes. Proper

boundary conditions were applied during the fitting processes. According to the

experimental results, we can achieve the following understanding of the anisotropic surface

charging properties and mechanisms of different kaolinite surfaces:

(1) The Stern potentials of the siloxane basal plane of kaolinite were negative from pH 3

to 10 in 10 mM KCl solutions, which barely changed with the variation of solution pH.

The aluminum oxy-hydroxyl basal plane of kaolinite was slightly pH-sensitive and its PZC

was found to be between pH 6 to 8. The pH-sensitive kaolinite edge surfaces had a PZC of

about pH 5. These findings match well with previous research and generally accepted

theory35,36.

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(2) For the siloxane basal plane of kaolinite, when Ca2+ was added into the 10 mM KCl

solution at pH 8 and 11, the Stern potential became less negative without changing to

positive with the additions increasing from 0.1 to 5 mM. When varying concentrations of

Mg2+ were added into the background electrolyte, although the Stern potential remained

negative at pH 8, it became positive at 1 mM Mg2+ addition at pH 11.

(3) For the aluminum oxy-hydroxyl basal plane of kaolinite, when the concentration of

Ca2+ was increased from 0.1 to 0.5 mM at pH 8 and 11, the Stern potentials were both

depressed without changing from negative to positive. When the addition of Ca2+ was

further increased to 1 mM, the Stern potential of Al-basal plane was reversed to positive at

both pHs. In the study of Mg2+, the addition of Mg2+ did not have the ability to achieve

charge reversal at pH 8, however, Mg2+ began to make serious impact on the Stern potential

of the Al-basal plane at pH 11. At pH 11, 0.5 mM addition of Mg2+ could reverse the Stern

potential from negative to positive.

(4) For kaolinite edge surfaces, the addition of Ca2+ can cause charge reversal at 1 mM and

0.5 mM, at pH 8 and 11, respectively. Charge reversal did not happen with the addition of

Mg2+ at pH 8. However, with more formation of Mg(OH)+ at pH 11, stronger specific

adsorption reversed the surface charge sign of kaolinite edge at 1 mM addition.

(5) The Stern potentials of three kaolinite basal planes responded differently to solution pH

due to different dominant charging mechanisms: isomorphic substitution for the Si-basal

plane and protonation/deprotonation for the Al-basal plane and edge surfaces. At pH 8, the

distinct responses to divalent cations of the three surfaces imply distinct binding

mechanisms: electrostatic attraction dominates for the Si-basal plane and the formation of

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strong surface complexes prevails on the Al-basal plane and edge surfaces (reactions and

schematic of the adsorption mechanisms at pH 8 can be seen in Figure 4.11). Moreover,

Ca2+ was found to be more favorable to the adsorption process than Mg2+ at pH 8, which

is attributed to the larger ionic dimension and less hydrated nature of calcium ions than

magnesium ions. At pH 11, Mg2+ had more significant impact on both basal planes than

Ca2+, and this is due to the nucleation and growth of magnesium hydroxide precipitate at

the basal surfaces (reactions and schematic of the adsorption mechanisms at pH 11 can be

seen in Figure 4.12). With the formation of the precipitate, the kaolinite basal and edge

surfaces start to have the electrokinetic features of magnesium hydroxide, which accounts

for the charge reversal occurred on all three kinds of surfaces with 1 mM Mg2+ addition at

pH 11.

The possible reactions between the studied ions with kaolinite surfaces under different

liquid environments were summarized as follows, and the corresponding schematics of the

ion adsorption on kaolinite surfaces were illustrated in Figure 4.11 and 4.12.

At pH 8:

Electrostatic attraction: ∥ XO− + M(H2O)62+

↔∥ XO−M(H2O)62+

(4.1)

Outer-sphere complex: ∥ XOH + M(H2O)62+ →∥ XO(H2O)M(H2O)5

+ + H+ (4.2)

Here, X stands for Si or Al.

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Figure 4.11 Schematics of the adsorption of divalent cations on kaolinite surfaces at pH 8.

At pH 11:

Specific adsorption: ∥ XOH + M(OH)+ →∥ XOM+ + HOH (4.3)

Surface precipitation: ∥ XOH + Mg2+ + 2H2O →∥ XOH[Mg(OH)2] + 2H+ (4.4)

Figure 4.12 Schematics of the adsorption of divalent cations on kaolinite surfaces at pH

11.

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In conclusion, we investigated the influence of divalent cations (Ca2+ and Mg2+) on the

anisotropic charging characteristics of kaolinite, which is a valuable clay mineral and has

abundant applications. The new information on the Stern potentials of kaolinite basal

planes in 10 mM KCl solutions with the presence of Ca2+ and Mg2+ gives insights into their

adsorption mechanisms on distinct basal planes. Direct force measurements using AFM on

carefully prepared kaolinite basal planes described in this research can be extended to other

phyllosilicates to explore their surface properties and colloidal behaviors, which could lead

to great contributions to the processing and utilization of broad natural resources.

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Chapter 5 Imaging of Ion Adsorptions on Kaolinite Basal

Planes

5.1 Introduction

In this chapter, atomic resolution imaging was performed on kaolinite basal planes to

directly see the ion distributions on kaolinite surfaces. By this model-independent way,

proposed ion adsorption mechanisms (in Chapter 4) were confirmed.

5.2 Results and discussion

In chapter 4, we reported the effect of divalent cations on the Stern potentials of kaolinite

surfaces, and brought up possible ion adsorption mechanisms under different solution

conditions. To further confirm our speculation, atomic resolution imaging was performed

on kaolinite basal surfaces to explore the ion distribution. The atomic resolution imaging

technique was described in Chapter 3, and the imaging processing procedure was provided

in Appendix A.

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5.2.1 Ion adsorption of monovalent ions

Figure 5.1 Surface lattice structure of kaolinite: Top view of the T sheet (a), and atomic

resolution images of kaolinite Si-basal plane in Milli-Q water (b) and 10 mM KCl solution

(c) at pH 5; Top view of the O sheet (d), and atomic resolution images of kaolinite Al-basal

plane in Milli-Q water (e) and 10 mM KCl solution (f) at pH 5; with insets being high

resolution views (top) and 2D spectrum (Fast Fourier Transform) image of the same data

(bottom) (large white, solid circle represents oxygen; large, dotted circle shows the fourth

oxygen atom of each tetrahedron pointing downward; small red circle represents silicon;

large grey, solid circle represents hydroxyl; small blue circle represents aluminum).

The top view of the T sheet (Figure 5.1 (a)) and O sheet (Figure 5.1 (d)) shows hexagonal

rings composed of outer oxygen atoms, with silicon/aluminum atoms residing below the

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top oxygen plane. The hexagonal rings were clearly observed from the atomic resolution

images of both kaolinite Si-basal plane and kaolinite Al-basal plane taken in ultrapure

Milli-Q water, as shown in Figures 5.1 (b) and (e). In Figure 5.1 (b), the spacing between

unit cells in x and y directions for kaolinite Si-basal plane was 0.514 nm and 0.996 nm,

respectively. In Figure 5.1 (e), the spacing between unit cells for kaolinite Al-basal plane

was 0.481 nm and 0.939 nm in x and y directions, respectively (the measurements of the

spacing are provided in the supporting information). These spacing values agree well with

the values reported in literature, which are given in Table 5.1.

Table 5.1 Comparison of the unit cell spacing of kaolinite basal planes

Method Kaolinite Si-basal plane Kaolinite Al-basal plane Reference

XRD x = 0.515 nm y = 0.89 nm 26

AFM

x = 0.514 nm

y = 0.996 nm

x = 0.481 nm

y = 0.939 nm This work

x = 0.51 nm

y = 0.92 nm

x = 0.50 nm

y = 0.905 nm

74

x = 0.50 ± 0.04 nm x = 0.36 ± 0.04 nm 95

The adsorption of K+ and Cl- on oppositely charged kaolinite basal planes was studied at

pH 5. According to Hunter63, specifically adsorbed ions can penetrate into the inner region

to have a strong and short-range interaction with the surface. If K+ or Cl- can adsorb

specifically at the interface, the strong binding between K+ and Si-basal plane or between

Cl- and Al-basal plane would be able to alter the surface lattice structure. However,

comparison of Figures 5.1 (b) and (c), (e) and (f) shows no visible change in the surface

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lattice structure. Therefore, strong binding of monovalent ions (K+ and Cl-) on negatively

and positively charged clay surfaces were not detected, regardless whether they were

hydrated or not.

5.2.2 Ion adsorption of divalent ions

In Chapter 4, kaolinite Si-basal plane and Al-basal plane were determined to be negatively

charged in KCl solutions at pH above 8. According to the speciation diagram (see Figure

C1 in Appendix C) of 1 mM Ca2+, the concentration of Ca(OH)+ is negligible at pH < 8,

and it increases dramatically with solution pH. The surfaces of the two basal planes were

imaged when 1 mM Ca2+ was added into the KCl solution at pH 8 and 11, respectively.

Figures 5.2 (a) and (b) show the surface structures of the two basal planes in 10 mM KCl

+ 1 mM Ca2+ aqueous solutions of pH 8. The periodic hexagonal rings remained on Si-

basal planes as shown in Figure 5.2 (a) although it was not as sharp as in the case without

calcium ions as shown in Figure 5.1 (c). In contrast, a distorted structure was seen on the

Al-basal plane as shown in Figure 5.2 (b) in comparison with the case in the absence of

calcium as shown in Figure 5.1 (e). However, the hexagonal rings completely disappeared

on the Si-basal plane, so did the distortion on Al-basal plane, which were replaced by clear,

periodic and rectangular structures on both surfaces when the solution pH was increased to

11.

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Figure 5.2 Atomic resolution images of kaolinite Si-basal (a), and Al-basal plane (b) in 10

mM KCl + 1 mM Ca2+ at pH 8; kaolinite Si-basal plane (c), and Al-basal plane (d) in 10

mM KCl + 1 mM Ca2+ at pH 11.

Although both basal planes were negatively charged at pH 8, the surface charging

mechanisms are completely different. The surface siloxane (SiOSi) groups of Si-basal

plane could be considered inert with the negative surface charges permanently carried by

the Si-basal plane being mainly from isomorphic substitution. When Ca2+ were added at

pH 8, the highly hydrated divalent calcium ions (Ca(H2O)62+) could only interact with the

negatively charged surface through electrostatic attraction in the diffuse electrical double

layer. When the AFM tip was scanning over the surface, the tip would easily push the

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hydrated calcium ions away, which explains why the hexagonal surface structure was not

affected. On the contrary, the amphoteric Al-OH surface groups on the Al-basal plane are

pH-responsive and can form surface complexes with hydrated calcium ions91. The outer-

sphere complexes (AlO(H2O)Ca(H2O)5+) would interfere with the hexagonal structure seen

on bare Al-basal plane as revealed in Figure 5.2 (b). The scanning of the AFM tip over the

charged solid surface is schematically illustrated in Figure 5.3.

Figure 5.3 Schematic of AFM tip scanning surface in solution.

When the solution pH was 11, both basal planes showed rectangular structures. Because

calcium ions would be highly hydrated in solution, they are unable to penetrate into the

inner region and interact directly with the surfaces63. Therefore, the structure change

coming from very strong surface binding should be attributed to the Ca(OH)+ formed at

high pH. The strong binding of Ca(OH)+ at pH 11.7 was also seen on a glass slide by Gan

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et al.90 using XPS, which showed a rather higher ratio of Ca/Si after the glass slide was

blown dry compared to the ratio obtained at pH 6. Therefore, it is only possible that the

strong binding of Ca(OH)+ (that can resist air blowing or AFM scanning) caused the change

of the surface structure. This strong, direct surface binding of Ca(OH)+ on kaolinite basal

planes was the so-called specific adsorption.

5.3 Summary

According to the atomic resolution imaging on kaolinite surfaces under different

background electrolytes, monovalent ions were not able to alter the surface lattice structure

of kaolinite basal surfaces, no matter whether they were hydrated or not. The observed

change in morphology of kaolinite basal plane surfaces in calcium solutions of increasing

pH suggests strong and chemical binding of divalent cations on clay surfaces, mostly in

the form of surface complexation and specific adsorption under low pH and high pH

solution environment, respectively, following possible reactions (4.1), (4.2), and (4.3)

proposed in Chapter 4.

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Chapter 6 Understanding Rheology and Settling Behaviors of

Kaolinite Suspension

6.1 Understanding the rheology behavior of kaolinite suspension

6.1.1 Calculation of interaction energy

After determining the Stern potentials of distinct kaolinite surfaces, the interaction energy

between different surfaces could be calculated based on DLVO theory.

The van der Waals interaction energy per unit area between planar surfaces is calculated

by:

𝑈𝑣𝑑𝑤 = −𝐴

12𝜋𝐷2 (6.1)

The electrical double-layer interaction energy per unit area between two planar surfaces is

given by the following equations85,96,97 under different boundary conditions:

For constant surface potential BC:

𝑈𝜓−𝜓 =𝜀𝜀0𝜅

2(𝜓𝑎

2 + 𝜓𝑏2)[1 − 𝑐𝑜𝑡ℎ(𝜅𝐷)] + 2𝜓𝑎𝜓𝑏𝑐𝑜𝑠𝑒𝑐ℎ(𝜅𝐷) (6.2)

For constant surface charge density BC:

𝑈𝜎−𝜎 =1

2𝜀𝜀0𝜅(𝜎𝑎

2 + 𝜎𝑏2)[𝑐𝑜𝑡ℎ(𝜅𝐷) − 1] + 2𝜎𝑎𝜎𝑏𝑐𝑜𝑠𝑒𝑐ℎ(𝜅𝐷) (6.3)

For mixed BC:

𝑈𝜎−𝜓 =1

22𝜓𝑎𝜎𝑏𝑠𝑒𝑐ℎ(𝜅𝐷) + (

𝜎𝑏2

𝜀𝜀0𝜅− 𝜀𝜀0𝜅𝜓𝑎

2) × [𝑡𝑎𝑛ℎ(𝜅𝐷) − 1] (6.4)

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6.1.2 Shear yield stress measurement

Kaolinite suspension (35 wt%) was prepared in 10 mM KCl solutions and thoroughly

mixed by IKA RW-20 overhead digital impeller (IKA Works, Inc., US) at 600 rpm for 30

min. The impeller was gently removed from the suspension, and the suspension was slowly

poured into a beaker for pH adjustment. The suspension was put into a vacuum aspirator

for one hour to remove the entrained air, and left overnight before proceeding to rheology

testing.

An AR-G2 rheometer (TA instruments, DE) and a concentric cylinder geometry were used

to study the rheology. The final pH of the kaolinite suspension was measured before the

shear stress measurement. Rheological properties of kaolinite suspension were obtained by

steadily increasing , then decreasing the shear rate (1 to 10 1/s) of the rotating spindle while

measuring the shear stress. The suspension showed non-Newtonian behavior and the yield

stress was obtained by extrapolation from the linear part of the rheometer data, using the

Bingham model98:

τ = 𝜏𝐵 + 𝜂𝑃𝛾 (6.5)

where, τ is the shear stress, 𝜏𝐵 is the Bingham yield stress, 𝜂𝑃 is the plastic viscosity and

𝛾 is the shear rate.

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6.1.3 Understanding kaolinite suspension rheology behavior through

interaction energy calculation

Figure 6.1 Impact of solution pH on the shear yield stress of kaolinite suspension.

The shear yield stress of kaolinite suspension was investigated in 10 mM KCl solutions

from pH 3 to 10. The shear yield stress was about 13 Pa at pH 3, which increased to a

maximum value of 15.4 Pa at pH 3.6. The shear yield stress started to decrease sharply

from pH 3.6 to pH 4.3, and became almost neglectable from pH 5 to pH 10.

Kaolinite has three different surfaces: Si-basal plane, Al-basal plane and edge surface. In a

kaolinite suspension, different surfaces would interact with each other, thus forming six

kinds of inter-particle pairs: Si-basal plane vs Si-basal plane (Si vs Si), Al-basal plane vs

Al-basal plane (Al vs Al), edge surface vs edge surface (E vs E), Si-basal plane vs Al-basal

plane (Si vs Al), Si-basal plane vs edge surface (Si vs E) and Al-basal plane vs edge surface

(Al vs E). Based on the Stern potential results in 10 mM KCl solutions at different pH, the

0

2

4

6

8

10

12

14

16

18

3 5 7 9 11

Sh

ear

Yie

ld S

tres

s (P

a)

pH

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interaction energy per unit area for these six kinds of associations was calculated and

shown in Figure 6.2.

Figure 6.2 Interaction energy/unit area between different kaolinite surfaces in 10 mM KCl

solutions at different pHs.

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The aggregation structure among charged clay particles is mainly determined by the

repulsive and attractive forces between two surfaces. We can see from Figure 6.2 (a) that,

at pH 3, the repulsive force between Si-basal plane and Si-basal plane is significantly

smaller than all other cases. The net repulsive forces between Al-basal planes and edge

surfaces (shown in Figure 6.2 (b) and (c)) at pH 3, 8 and 10 are not very different, and they

gradually change to small attraction at pH 5 and 6. Although the interaction energy was

calculated between two same surfaces and they carried the same surface charges/Stern

potentials, the interaction energy could be attractive when the Stern potentials were low

(pH 5 and 6, in this case). This is because the attractive VDW force overcomes the repulsive

EDL force, and becomes dominant in these cases. In Figure 6.2 (d), we can see that the

attraction between Si-basal plane and the Al-basal plane became significant at pH 3 and 5,

especially at pH 5. Attractive interaction was obtained when Al-basal plane interacted with

edge surface at pH 5 and 6, which became slightly repulsive at pH 3 and 8, and the repulsion

reached its maximum at pH 10. The interaction between Si-basal plane and edge surfaces

gradually changed from attractive to repulsive as the solution pH increased from 3 to 10.

Based on the calculated interaction energy profiles given in Figure 6.2, we can predict the

pH of the maximum shear yield stress for different pairs of surfaces, which is listed in

Table 6.1.

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Table 6.1 Prediction of the pH of the maximum shear yield stress for different pairs of

surfaces from the calculated interaction energy profiles.

Pairs of surfaces Predicted pH of the maximum shear yield stress

Si vs Si 3

Al vs Al 6

E vs E 5

Si vs Al 5

Si vs E 5

Al vs E 3

It can be seen from Table 6.1 that, among the six kinds of pairs of surfaces, the maximum

yield stress of two kinds (Si vs Si, and Al vs E) would occur at pH 3, and three kinds (E vs

E, Si vs Al, and Si vs E) would occur at pH 5. Therefore, it is reasonable to predict that the

maximum shear yield stress for the whole system may occur between pH 3 and 5. Moreover,

according to the calculation results showed in Figure 6.2, it can be concluded that at pH 3,

the interaction among kaolinite particles in a suspension was dominated by big attraction

between Si-basal plane vs edge surfaces, and Si-basal plane vs Al-basal plane. The

repulsion between same surfaces at pH 3 are relatively small compared to pH 6, 8 and 10,

and it became even smaller when solution pH increased from 3 to 5. The particles tend to

come closer and form card house structure (see Figure 6.3 (a)) via attractions between basal

planes and edge surfaces at pH around 3, which explains why the highest shear-yield stress

was obtained at pH 3.6 (see Figure 6.1).

At pH 5, the attractive interaction between particles come from Al-basal vs Al-basal, edge

vs edge, Si-basal vs Al-basal and Si-basal vs edge. The shear-yield stress became rather

small but still not negligible, which means the newly formed structure at pH 5 was not the

strong card house structure that can introduce high shear-yield stress. Therefore, the

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dominated attraction should come from Si-basal plane vs Al-basal plane and Al-basal plane

vs Al-basal plane, and the particles would form basal plane vs basal plane (mainly

dominated by Si-basal) stacking structure as illustrated in Figure 6.3 (b).

When the solution pH was further increased to 6, 8 and 10. Net repulsion occurred at almost

all inner particle associations, so the particles could not get closer to each other, and thus

staying dispersed in the solution (see Figure 6.3 (c) for the dispersed structure). This is also

why kaolinite particles are hard to settle down in a pH 8 process water in oil sands tailings.

Figure 6.3 Proposed aggregate structures: (a) card house structure; (b) parallel stacking; (c)

dispersed structure.

6.2 Understanding the settling behavior of kaolinite suspension

6.2.1 Settling test

Because the pH of oil sands tailings is about 7.5 to 8, and at this pH, Ca2+ and Mg2+ have

similar effect on the kaolinite particles, the settling tests were only conducted in 10 mM

KCl solutions with the addition of Ca2+ at pH 8. To investigate the impact of magnesium

precipitate, settling tests were also performed with 5 mM Ca2+ and Mg2+ addition at pH 11.

Kaolinite suspensions (5%) were prepared in 10 mM KCl solutions containing various

concentrations of calcium chloride. The suspensions were mixed by IKA RW-20 overhead

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digital impeller (IKA Works, Inc., US) at 600 rpm for 5 min. The pH of the well-dispersed

suspensions were adjusted to 8 using 1 M HCl and 1M KOH while being magnetically

stirred. The prepared suspenisons were transferred into graduate cylinders (100 mL) for

settling test.

6.2.2 Understanding kaolinite suspension settling behavior through

interaction energy calculation

The mudline, i.e., the interface between the supernatant and sediments, was recorded as a

function of the settling time. The mudline height was calculated using the absolute height

of the mudline divided by the total height of the suspension. The settling curves describe

the change of the mudline height vs settling time, which were shown in Figure 6.4. The

initial settling rate (ISR) was defined as the initial slope of the settling curve.

Figure 6.4 Settling performance of kaolinite suspension.

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Figure 6.5 Impact of divalent cations on the interaction energy/unit area between different

kaolinite surfaces.

When Ca2+ were added into the suspension, it can be seen in Figure 6.4 that the IRS

increased very slowly when the concentration of Ca2+ was increased from 0 to 1 mM, but

the IRS increased sharply when the concentration increased to 5 mM. This suggested that

the addition of divalent cations can fasten the settling of kaolinite particles in a kaolinite

suspension when the Stern potentials were highly decreased for all surfaces.

When 0.1 mM Ca2+ were added into the kaolinite suspension, the calculated interaction

energies showed that the repulsion between different surfaces were highly reduced.

However, all of the interaction energies were still repulsive, so the IRS with 0.1 mM

divalent cation addition is almost the same as the IRS in 10 mM KCl solution, and only the

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final mudline height of 0.1 mM Ca2+ addition is lower than that of 10 mM KCl solution

case (see Figure 6.4).

Because the Stern potentials of kaolinite surfaces were further reduced with 0.5 and 1 mM

Ca2+ addition, the interaction energies between surfaces changed from repulsive to

attractive (see Figure 6.5), even between same surfaces, which is because the attractive

VDW force became dominant. As we can see from Figure 6.4 that, the IRS for 0.5 mM

divalent cation addition was still very close to that of 10 mM KCl solution case, and the

IRS only increased a little at 1 mM divalent cation addition, which was not increased as

expected. This is because the attraction among particles are still dominated by both basal

vs basal and basal vs edge (see Figure 6.5 (b) and (c)), so the structure of the aggregation

formed at these two conditions are card-house structure as shown in Figure 6.6 (b). The

card house structure is able to trap a large amount of water and slows the settling process.

If we keep increasing the addition of divalent cations, the Stern potentials of kaolinite Al-

basal and edge surfaces could be reversed from negative to positive, and the Stern potential

of kaolinite Si-basal planes were also highly depressed according to the findings in Chapter

4. The interaction energies between kaolinite surfaces (see Figure 6.5 (d)) showed strong

attraction except Si-Si, and the attraction among particles is dominated by Al-E and Si-E.

The dominating attraction coming from basal vs edge may cause the formation of a brush-

like aggregation structure, as shown in Figure 6.6 (c). This dense compact will ultimately

lead to a fast settling result shown in Figure 6.4. Moreover, the final mudline height with

5 mM Ca2+ addition was much lower than other cases, which is about 0.326.

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Figure 6.6 Proposed aggregate structures in 10 mM KCl solutions with 0, 0.1 mM Ca2+

addition (a), with 0.5 and 1 mM Ca2+ addition (b), and with 5 mM Ca2+ addition (c).

According to the Stern potential study in Chapter 4, the Stern potentials of the three

kaolinite surfaces were all negative at pH 8 when there were 0, 0.1 mM addition of calcium

ions added into 10 mM KCl solutions, so the kaolinite particles were repelling to each other

in such suspensions as shown in Figure 6.6 (a). When 0.5 and 1 mM Ca2+ addition highly

reduced the negative Stern potentials or even caused charge reversal of Al-basal and edge

surfaces, card-house structure shown in Figure 6.6 (b) would reappear. When more calcium

ions were added, the dominating attraction started to come from Al-basal planes vs edge

surfaces, and from Si-basal planes vs edge surfaces, thus forming a brush-like structure as

we can see from Figure 6.6 (c). Faster settling was observed when the addition of Ca2+ was

increased as predicted, which is because of the compression of edl increased with the

concentration of divalent cations, and the repulsive forces among particles were gradually

reduced. The fast settling achieved at 5 mM Ca2+ addition is caused by the formation of the

compact brush-like structure.

Settling tests were also performed in 5 mM addition of Mg2+ at pH 8 and 11 to see how the

surface precipitation impacts the particle stacking style in a suspension. The results are

shown in Figure 6.7.

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Figure 6.7 Impact of Mg2+ on the settling performance of kaolinite suspension.

As we can see from Figure 6.7 that the settling performance of kaolinite suspension in 10

mM KCl solution with 5 mM Mg2+ addition is very similar to the settling performance

observed with the same concentration of Ca2+ addition. However, when the pH of

electrolyte solutions was increased to 11, the ISR increased a little for Ca2+ addition due to

stronger EDL compression. As anticipated, due to more formation of magnesium

precipitate at high concentration of Mg2+ dosage at pH 11, all three kinds of kaolinite

surfaces started to have the electrokinetic features of magnesium precipitate. Thus, the

repelling forces among kaolinite particles increased, resulting in a smaller ISR.

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Chapter 7 Conclusions and Future Work

7.1 Conclusions

In this research, the influence of divalent cations (Ca2+ and Mg2+) on the anisotropic

charging characteristics of kaolinite were thoroughly studied. The new information on the

Stern potentials of kaolinite surfaces in 10 mM KCl solutions in the presence of Ca2+ and

Mg2+ gives insights into their adsorption mechanisms on distinct kaolinite surfaces. Direct

force measurements using AFM on kaolinite basal planes and edge surfaces described in

this research can be extended to other phyllosilicates to explore their surface properties and

colloidal behaviors, which could lead to great contributions to the processing and

utilization of broad natural resources.

To further investigate the ion adsorption mechanisms, atomic resolution imaging was

performed. As a sophisticated technique, atomic resolution imaging is of great application

potentials in colloids and interface field. A detailed operation procedure was described in

this work. In-situ observation of ion distribution at the solid-liquid interface allowed us to

understand the interaction between divalent cations and kaolinite surfaces. When calcium

ions were added into the background solution at high pH, we could see from the in-situ

images that kaolinite surface lattice changed from hexagonal rings to rectangular arrays,

which was caused by the strongly and specifically adsorbed Ca(OH)+.

Finally, the calculation of the interaction energy between kaolinite surfaces explained the

macroscopic behaviors of kaolinite suspension under different solution conditions. The

success link between the microscopic world and the macroscopic world not only provides

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valuable fundamental guidance for industry application, but also proves that our methods

used in the Stern potential study are feasible and reliable.

In conclusion, the major contributions of this work are:

1) in this study, the method used to obtain the Stern potential of a sample surface based on

ion adsorption mechanism were discussed in detail, which can lead to more accurate Stern

potential results;

2) based on the knowledge of the Stern potential of phyllosilicate clay, the aggregate

structure of the clay particles can be predicted by calculating the interaction energies

among the interacting surfaces. This not only laid a good foundation for future research in

tailings treatment, but can also be used to other research areas, such as controlling nano-

structure of catalyst, synthesizing structural materials, etc.

3) with the presence of Ca2+ in the electrolyte solution of high pH, in situ imaging of the

ion distribution at kaolinite-electrolyte interface directly showed the existence of specific

adsorption for the first time. This technique can also be applied to explore the interaction

mechanisms between reagents and mineral surfaces (e.g., the effect of citric acid on

reducing coagulation of bitumen with kaolinite), to investigate the impact of ambient

conditions on the nanostructure features of material surfaces (such as membranes,

semiconductors, etc.), and so on.

7.2 Recommendations for future work

In this study, the force fitting process can only achieve good fit at the separation

distance > 3 nm from the surface. To obtain a better fit, future research may

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consider including the repulsive non-DLVO hydration force into the calculation of

theoretical interaction force:

𝐹 = 𝐹𝑣𝑑𝑤 + 𝐹𝑒𝑑𝑙 + 𝐹ℎ𝑦𝑑𝑟𝑎𝑡𝑖𝑜𝑛

The calculation of the hydration force suitable for this AFM tip-solution-substrate

system has been provided by Drelich et al. [75]

Calculate the surface charge density of kaolinite basal surfaces when divalent

cations were added into the 10 mM KCl solution. Use the impact of the divalent

cation on the surface charge density to prove the feasibility of obtaining the surface

lattice structure change seen in Chapter 5.

When 1 mM Ca2+ added into the background solutions of pH 11, in order to confirm

the change of the crystal lattice structure observed on Si-basal plane and Al-basal

plane of kaolinite was caused by specifically adsorbed calcium ions, TOM-SIMS

or DFT calculation could be done in the future to provide further information.

Determine the ratios of solid to cation used in the Stern potential study, and

calculate the usage of cation for settling test using the same solid to cation ratios.

Then conduct settling tests again to see how divalent cations affect the settling

behavior of kaolinite suspension.

Divalent cations can affect kaolinite aggregate structure by influencing the

thickness of electrical double-layer and the Stern potentials of kaolinite surfaces.

To find the link between the divalent cation and the kaolinite aggregate structure,

the settling performance of kaolinite suspension should be investigated under

different concentrations of divalent cations (from 1 mM to 10 mM). This link can

be used to find the optimum dosage of divalent cations for achieving fast settling.

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Appendices

Appendix A Atomic resolution image processing

Figure A1. Image processing procedure. (a) Original atomic resolution image after being

flattened, (b) Spectrum 2D image, (c) inverse FFT image, and (d) zoomed-in view of (c).

The atomic resolution image of the kaolinite Si-basal plane taken in Milli-Q water was

used to show the image processing procedure. The original figure was 2nd-order flattened

using NanoScope Analysis Version 1.8 (Bruker Corporation) and shown in Figure A1(a).

Lowpass filtering can be used to further improve the image clarity if noise is high.

Spectrum 2D function was then used to transform the image data to frequency domain via

a 2D fast Fourier transform (FFT), as we can see in Figure A1(b). By passing selected

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frequencies, the image was filtered and certain surface features (in this case, the surface

lattice structure) were isolated, as shown in Figure A1(c). Finally, a zoomed-in view was

provided to see the surface lattice structure image more clearly.

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Appendix B Error analysis of the obtained Stern potentials

The AFM experimental force curves and the force fitting used to obtain the Stern potentials

in Chapter 4 may bring about certain errors, which mainly come from following reasons:

1) Surface roughness of the substrate/kaolinite surfaces. The surface roughness of the

kaolinite basal surfaces is between 0.3 ~ 1.2 nm, and the surface roughness of edge surfaces

usually ranged from 1.06 ~ 2.3 nm, which is one of the contributions of the discrepancy

between the experimental force curves and the theoretical force curves at short separation

from the surfaces.

2) Non-DLVO forces were not taken into consideration in this study, such as the short-

range hydration force.

3) Experimental force curves obtained from different locations on kaolinite surfaces may

lead to a variation of the derived Stern potential, and the variation is usually between ±2

to ±8 mV. The variation of a few cases reached to about ±10 mV, which usually happened

near the PZC of the surfaces. This is because when near PZC, even slight change of the

solution condition would cause big fluctuation of the Stern potentials of a surface.

4) In the calculation of the theoretical forces, although the surface charging mechanisms

have been seriously explored and used to decide the studied surfaces carry constant surface

potential or constant surface charge, absolute constant surface potential and constant

surface charge are ideal cases. In reality, the interaction force between AFM tip and the

substrate/kaolinite surface would always fall in between the two extreme cases. Therefore,

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Calculating the theoretical forces based on surface charging mechanisms can only provide

the best approximated forces to the experimental forces.

5) Error may also come from the determination of the spring constant of the cantilever, the

deflection sensitivity, and the geometry of the AFM tip.

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Appendix C Speciation diagram

Figure A1 shows the speciation diagram for 10-3 mol/L Ca2+ and Mg2+, which was

constructed using data from Fuerstenau et al.94, and Gan et al.99.

6 7 8 9 10 11 12 13 14

1E-8

1E-7

1E-6

1E-5

1E-4

1E-3Ca

2+

Ca(OH)2 (S)

Ca(OH)+

Co

nce

ntr

atio

n (

mo

l/L

)

pH

Mg(OH)+

Mg2+

Mg(OH)2 (S)

Figure C1. Concentration diagram for 10-3 mol/L Ca2+ and Mg2+ .